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Finding the Fourth Proportional to 472,406.80, 708,156.60 and 156,701.20

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Solution

The fourth proportional to 472,406.80, 708,156.60 and 156,701.20 is: 234,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,406.80 : 708,156.60 = 156,701.20 : x
  2. Step 2: Convert to fraction form
    472,406.80/708,156.60 = 156,701.20/x
  3. Step 3: Cross multiply
    472,406.80x = 708,156.60 × 156,701.20
  4. Step 4: Simplify right side
    472,406.80x = 110,968,989,007.92
  5. Step 5: Solve for x
    x = 110,968,989,007.92/472,406.80
  6. Step 6: Final answer
    x = 234,901.34

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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.