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Finding the Fourth Proportional to 509,006.26, 762,346.22 and 242,953.54

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Solution

The fourth proportional to 509,006.26, 762,346.22 and 242,953.54 is: 363,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,006.26 : 762,346.22 = 242,953.54 : x
  2. Step 2: Convert to fraction form
    509,006.26/762,346.22 = 242,953.54/x
  3. Step 3: Cross multiply
    509,006.26x = 762,346.22 × 242,953.54
  4. Step 4: Simplify right side
    509,006.26x = 185,214,712,854.62
  5. Step 5: Solve for x
    x = 185,214,712,854.62/509,006.26
  6. Step 6: Final answer
    x = 363,875.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.