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Finding the Fourth Proportional to 472,601.88, 708,666.30 and 156,948.12

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Solution

The fourth proportional to 472,601.88, 708,666.30 and 156,948.12 is: 235,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,601.88 : 708,666.30 = 156,948.12 : x
  2. Step 2: Convert to fraction form
    472,601.88/708,666.30 = 156,948.12/x
  3. Step 3: Cross multiply
    472,601.88x = 708,666.30 × 156,948.12
  4. Step 4: Simplify right side
    472,601.88x = 111,223,843,492.36
  5. Step 5: Solve for x
    x = 111,223,843,492.36/472,601.88
  6. Step 6: Final answer
    x = 235,343.63

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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.