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Finding the Fourth Proportional to 541,834.92, 747,724 and 296,817.72

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Solution

The fourth proportional to 541,834.92, 747,724 and 296,817.72 is: 409,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,834.92 : 747,724 = 296,817.72 : x
  2. Step 2: Convert to fraction form
    541,834.92/747,724 = 296,817.72/x
  3. Step 3: Cross multiply
    541,834.92x = 747,724 × 296,817.72
  4. Step 4: Simplify right side
    541,834.92x = 221,937,732,869.28
  5. Step 5: Solve for x
    x = 221,937,732,869.28/541,834.92
  6. Step 6: Final answer
    x = 409,603.97

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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.