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Finding the Fourth Proportional to 472,845.60, 709,333.20 and 157,269.60

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Solution

The fourth proportional to 472,845.60, 709,333.20 and 157,269.60 is: 235,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,845.60 : 709,333.20 = 157,269.60 : x
  2. Step 2: Convert to fraction form
    472,845.60/709,333.20 = 157,269.60/x
  3. Step 3: Cross multiply
    472,845.60x = 709,333.20 × 157,269.60
  4. Step 4: Simplify right side
    472,845.60x = 111,556,548,630.72
  5. Step 5: Solve for x
    x = 111,556,548,630.72/472,845.60
  6. Step 6: Final answer
    x = 235,925.95

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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.