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Finding the Fourth Proportional to 1,411,051.43, 1,947,249.50 and 766,472.13

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Solution

The fourth proportional to 1,411,051.43, 1,947,249.50 and 766,472.13 is: 1,057,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,051.43 : 1,947,249.50 = 766,472.13 : x
  2. Step 2: Convert to fraction form
    1,411,051.43/1,947,249.50 = 766,472.13/x
  3. Step 3: Cross multiply
    1,411,051.43x = 1,947,249.50 × 766,472.13
  4. Step 4: Simplify right side
    1,411,051.43x = 1,492,512,468,074.07
  5. Step 5: Solve for x
    x = 1,492,512,468,074.07/1,411,051.43
  6. Step 6: Final answer
    x = 1,057,730.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.