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Finding the Fourth Proportional to 541,337.40, 811,314.90 and 416,057.40

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Solution

The fourth proportional to 541,337.40, 811,314.90 and 416,057.40 is: 623,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,337.40 : 811,314.90 = 416,057.40 : x
  2. Step 2: Convert to fraction form
    541,337.40/811,314.90 = 416,057.40/x
  3. Step 3: Cross multiply
    541,337.40x = 811,314.90 × 416,057.40
  4. Step 4: Simplify right side
    541,337.40x = 337,553,567,875.26
  5. Step 5: Solve for x
    x = 337,553,567,875.26/541,337.40
  6. Step 6: Final answer
    x = 623,554.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.