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Finding the Fourth Proportional to 1,411,052.68, 1,947,287.82 and 766,472.68

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Solution

The fourth proportional to 1,411,052.68, 1,947,287.82 and 766,472.68 is: 1,057,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,052.68 : 1,947,287.82 = 766,472.68 : x
  2. Step 2: Convert to fraction form
    1,411,052.68/1,947,287.82 = 766,472.68/x
  3. Step 3: Cross multiply
    1,411,052.68x = 1,947,287.82 × 766,472.68
  4. Step 4: Simplify right side
    1,411,052.68x = 1,492,542,914,126.76
  5. Step 5: Solve for x
    x = 1,492,542,914,126.76/1,411,052.68
  6. Step 6: Final answer
    x = 1,057,751.38

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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.