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Finding the Fourth Proportional to 502,585.70, 753,971.93 and 165,650.02

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Solution

The fourth proportional to 502,585.70, 753,971.93 and 165,650.02 is: 248,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,585.70 : 753,971.93 = 165,650.02 : x
  2. Step 2: Convert to fraction form
    502,585.70/753,971.93 = 165,650.02/x
  3. Step 3: Cross multiply
    502,585.70x = 753,971.93 × 165,650.02
  4. Step 4: Simplify right side
    502,585.70x = 124,895,463,191.95
  5. Step 5: Solve for x
    x = 124,895,463,191.95/502,585.70
  6. Step 6: Final answer
    x = 248,505.81

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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.