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Finding the Fourth Proportional to 472,457.88, 708,677.10 and 156,917.52

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Solution

The fourth proportional to 472,457.88, 708,677.10 and 156,917.52 is: 235,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,457.88 : 708,677.10 = 156,917.52 : x
  2. Step 2: Convert to fraction form
    472,457.88/708,677.10 = 156,917.52/x
  3. Step 3: Cross multiply
    472,457.88x = 708,677.10 × 156,917.52
  4. Step 4: Simplify right side
    472,457.88x = 111,203,853,012.79
  5. Step 5: Solve for x
    x = 111,203,853,012.79/472,457.88
  6. Step 6: Final answer
    x = 235,373.05

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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.