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Finding the Fourth Proportional to 472,017.60, 707,764 and 156,302.32

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Solution

The fourth proportional to 472,017.60, 707,764 and 156,302.32 is: 234,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,017.60 : 707,764 = 156,302.32 : x
  2. Step 2: Convert to fraction form
    472,017.60/707,764 = 156,302.32/x
  3. Step 3: Cross multiply
    472,017.60x = 707,764 × 156,302.32
  4. Step 4: Simplify right side
    472,017.60x = 110,625,155,212.48
  5. Step 5: Solve for x
    x = 110,625,155,212.48/472,017.60
  6. Step 6: Final answer
    x = 234,366.59

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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.