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Finding the Fourth Proportional to 252,592.59, 378,587.16 and 117,474.33

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Solution

The fourth proportional to 252,592.59, 378,587.16 and 117,474.33 is: 176,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,592.59 : 378,587.16 = 117,474.33 : x
  2. Step 2: Convert to fraction form
    252,592.59/378,587.16 = 117,474.33/x
  3. Step 3: Cross multiply
    252,592.59x = 378,587.16 × 117,474.33
  4. Step 4: Simplify right side
    252,592.59x = 44,474,272,967.60
  5. Step 5: Solve for x
    x = 44,474,272,967.60/252,592.59
  6. Step 6: Final answer
    x = 176,071.17

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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.