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Finding the Fourth Proportional to 502,689.78, 753,743.07 and 202,924.98

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Solution

The fourth proportional to 502,689.78, 753,743.07 and 202,924.98 is: 304,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,689.78 : 753,743.07 = 202,924.98 : x
  2. Step 2: Convert to fraction form
    502,689.78/753,743.07 = 202,924.98/x
  3. Step 3: Cross multiply
    502,689.78x = 753,743.07 × 202,924.98
  4. Step 4: Simplify right side
    502,689.78x = 152,953,297,404.89
  5. Step 5: Solve for x
    x = 152,953,297,404.89/502,689.78
  6. Step 6: Final answer
    x = 304,269.76

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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.