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Finding the Fourth Proportional to 423,254.52, 584,108.10 and 232,274.76

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Solution

The fourth proportional to 423,254.52, 584,108.10 and 232,274.76 is: 320,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,254.52 : 584,108.10 = 232,274.76 : x
  2. Step 2: Convert to fraction form
    423,254.52/584,108.10 = 232,274.76/x
  3. Step 3: Cross multiply
    423,254.52x = 584,108.10 × 232,274.76
  4. Step 4: Simplify right side
    423,254.52x = 135,673,568,741.56
  5. Step 5: Solve for x
    x = 135,673,568,741.56/423,254.52
  6. Step 6: Final answer
    x = 320,548.42

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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.