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Finding the Fourth Proportional to 527,291.78, 791,072.49 and 153,314.78

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Solution

The fourth proportional to 527,291.78, 791,072.49 and 153,314.78 is: 230,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,291.78 : 791,072.49 = 153,314.78 : x
  2. Step 2: Convert to fraction form
    527,291.78/791,072.49 = 153,314.78/x
  3. Step 3: Cross multiply
    527,291.78x = 791,072.49 × 153,314.78
  4. Step 4: Simplify right side
    527,291.78x = 121,283,104,768.40
  5. Step 5: Solve for x
    x = 121,283,104,768.40/527,291.78
  6. Step 6: Final answer
    x = 230,011.37

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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.