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Finding the Fourth Proportional to 509,645.12, 760,167.61 and 442,557.68

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Solution

The fourth proportional to 509,645.12, 760,167.61 and 442,557.68 is: 660,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,645.12 : 760,167.61 = 442,557.68 : x
  2. Step 2: Convert to fraction form
    509,645.12/760,167.61 = 442,557.68/x
  3. Step 3: Cross multiply
    509,645.12x = 760,167.61 × 442,557.68
  4. Step 4: Simplify right side
    509,645.12x = 336,418,013,892.75
  5. Step 5: Solve for x
    x = 336,418,013,892.75/509,645.12
  6. Step 6: Final answer
    x = 660,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.