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Finding the Fourth Proportional to 314,748.27, 472,269.83 and 156,988.89

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Solution

The fourth proportional to 314,748.27, 472,269.83 and 156,988.89 is: 235,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,748.27 : 472,269.83 = 156,988.89 : x
  2. Step 2: Convert to fraction form
    314,748.27/472,269.83 = 156,988.89/x
  3. Step 3: Cross multiply
    314,748.27x = 472,269.83 × 156,988.89
  4. Step 4: Simplify right side
    314,748.27x = 74,141,115,607.24
  5. Step 5: Solve for x
    x = 74,141,115,607.24/314,748.27
  6. Step 6: Final answer
    x = 235,556.86

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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.