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Finding the Fourth Proportional to 427,701.94, 590,219.56 and 234,109.61

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Solution

The fourth proportional to 427,701.94, 590,219.56 and 234,109.61 is: 323,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,701.94 : 590,219.56 = 234,109.61 : x
  2. Step 2: Convert to fraction form
    427,701.94/590,219.56 = 234,109.61/x
  3. Step 3: Cross multiply
    427,701.94x = 590,219.56 × 234,109.61
  4. Step 4: Simplify right side
    427,701.94x = 138,176,070,560.83
  5. Step 5: Solve for x
    x = 138,176,070,560.83/427,701.94
  6. Step 6: Final answer
    x = 323,066.27

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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.