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Finding the Fourth Proportional to 501,354.24, 691,773.12 and 286,562.40

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Solution

The fourth proportional to 501,354.24, 691,773.12 and 286,562.40 is: 395,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,354.24 : 691,773.12 = 286,562.40 : x
  2. Step 2: Convert to fraction form
    501,354.24/691,773.12 = 286,562.40/x
  3. Step 3: Cross multiply
    501,354.24x = 691,773.12 × 286,562.40
  4. Step 4: Simplify right side
    501,354.24x = 198,236,165,522.69
  5. Step 5: Solve for x
    x = 198,236,165,522.69/501,354.24
  6. Step 6: Final answer
    x = 395,401.39

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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.