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Finding the Fourth Proportional to 334,009.53, 501,186.56 and 156,534.57

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Solution

The fourth proportional to 334,009.53, 501,186.56 and 156,534.57 is: 234,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,009.53 : 501,186.56 = 156,534.57 : x
  2. Step 2: Convert to fraction form
    334,009.53/501,186.56 = 156,534.57/x
  3. Step 3: Cross multiply
    334,009.53x = 501,186.56 × 156,534.57
  4. Step 4: Simplify right side
    334,009.53x = 78,453,021,876.71
  5. Step 5: Solve for x
    x = 78,453,021,876.71/334,009.53
  6. Step 6: Final answer
    x = 234,882.59

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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.