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Finding the Fourth Proportional to 1,411,982.91, 1,948,549.22 and 767,404.65

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Solution

The fourth proportional to 1,411,982.91, 1,948,549.22 and 767,404.65 is: 1,059,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,982.91 : 1,948,549.22 = 767,404.65 : x
  2. Step 2: Convert to fraction form
    1,411,982.91/1,948,549.22 = 767,404.65/x
  3. Step 3: Cross multiply
    1,411,982.91x = 1,948,549.22 × 767,404.65
  4. Step 4: Simplify right side
    1,411,982.91x = 1,495,325,732,181.87
  5. Step 5: Solve for x
    x = 1,495,325,732,181.87/1,411,982.91
  6. Step 6: Final answer
    x = 1,059,025.38

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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.