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Finding the Fourth Proportional to 732,792, 1,011,252.96 and 414,840

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Solution

The fourth proportional to 732,792, 1,011,252.96 and 414,840 is: 572,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,792 : 1,011,252.96 = 414,840 : x
  2. Step 2: Convert to fraction form
    732,792/1,011,252.96 = 414,840/x
  3. Step 3: Cross multiply
    732,792x = 1,011,252.96 × 414,840
  4. Step 4: Simplify right side
    732,792x = 419,508,177,926.40
  5. Step 5: Solve for x
    x = 419,508,177,926.40/732,792
  6. Step 6: Final answer
    x = 572,479.20

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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.