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Finding the Fourth Proportional to 310,720.38, 428,781.78 and 183,436.98

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Solution

The fourth proportional to 310,720.38, 428,781.78 and 183,436.98 is: 253,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,720.38 : 428,781.78 = 183,436.98 : x
  2. Step 2: Convert to fraction form
    310,720.38/428,781.78 = 183,436.98/x
  3. Step 3: Cross multiply
    310,720.38x = 428,781.78 × 183,436.98
  4. Step 4: Simplify right side
    310,720.38x = 78,654,434,802.22
  5. Step 5: Solve for x
    x = 78,654,434,802.22/310,720.38
  6. Step 6: Final answer
    x = 253,135.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.