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Finding the Fourth Proportional to 472,292.66, 708,274.95 and 156,675.75

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Solution

The fourth proportional to 472,292.66, 708,274.95 and 156,675.75 is: 234,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,292.66 : 708,274.95 = 156,675.75 : x
  2. Step 2: Convert to fraction form
    472,292.66/708,274.95 = 156,675.75/x
  3. Step 3: Cross multiply
    472,292.66x = 708,274.95 × 156,675.75
  4. Step 4: Simplify right side
    472,292.66x = 110,969,508,997.46
  5. Step 5: Solve for x
    x = 110,969,508,997.46/472,292.66
  6. Step 6: Final answer
    x = 234,959.21

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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.