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Finding the Fourth Proportional to 1,280,387.14, 1,766,969.90 and 707,464.24

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Solution

The fourth proportional to 1,280,387.14, 1,766,969.90 and 707,464.24 is: 976,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,387.14 : 1,766,969.90 = 707,464.24 : x
  2. Step 2: Convert to fraction form
    1,280,387.14/1,766,969.90 = 707,464.24/x
  3. Step 3: Cross multiply
    1,280,387.14x = 1,766,969.90 × 707,464.24
  4. Step 4: Simplify right side
    1,280,387.14x = 1,250,068,017,406.38
  5. Step 5: Solve for x
    x = 1,250,068,017,406.38/1,280,387.14
  6. Step 6: Final answer
    x = 976,320.35

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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.