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Finding the Fourth Proportional to 427,718.76, 590,242.68 and 234,126.24

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Solution

The fourth proportional to 427,718.76, 590,242.68 and 234,126.24 is: 323,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,718.76 : 590,242.68 = 234,126.24 : x
  2. Step 2: Convert to fraction form
    427,718.76/590,242.68 = 234,126.24/x
  3. Step 3: Cross multiply
    427,718.76x = 590,242.68 × 234,126.24
  4. Step 4: Simplify right side
    427,718.76x = 138,191,299,355.92
  5. Step 5: Solve for x
    x = 138,191,299,355.92/427,718.76
  6. Step 6: Final answer
    x = 323,089.17

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.