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Finding the Fourth Proportional to 509,013.90, 763,614.66 and 167,476.53

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Solution

The fourth proportional to 509,013.90, 763,614.66 and 167,476.53 is: 251,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,013.90 : 763,614.66 = 167,476.53 : x
  2. Step 2: Convert to fraction form
    509,013.90/763,614.66 = 167,476.53/x
  3. Step 3: Cross multiply
    509,013.90x = 763,614.66 × 167,476.53
  4. Step 4: Simplify right side
    509,013.90x = 127,887,533,513.93
  5. Step 5: Solve for x
    x = 127,887,533,513.93/509,013.90
  6. Step 6: Final answer
    x = 251,245.66

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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.