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Finding the Fourth Proportional to 472,543.60, 708,880.20 and 156,967.60

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Solution

The fourth proportional to 472,543.60, 708,880.20 and 156,967.60 is: 235,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,543.60 : 708,880.20 = 156,967.60 : x
  2. Step 2: Convert to fraction form
    472,543.60/708,880.20 = 156,967.60/x
  3. Step 3: Cross multiply
    472,543.60x = 708,880.20 × 156,967.60
  4. Step 4: Simplify right side
    472,543.60x = 111,271,223,681.52
  5. Step 5: Solve for x
    x = 111,271,223,681.52/472,543.60
  6. Step 6: Final answer
    x = 235,472.92

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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.