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Finding the Fourth Proportional to 472,492.30, 708,284.85 and 156,786.70

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Solution

The fourth proportional to 472,492.30, 708,284.85 and 156,786.70 is: 235,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,492.30 : 708,284.85 = 156,786.70 : x
  2. Step 2: Convert to fraction form
    472,492.30/708,284.85 = 156,786.70/x
  3. Step 3: Cross multiply
    472,492.30x = 708,284.85 × 156,786.70
  4. Step 4: Simplify right side
    472,492.30x = 111,049,644,291.50
  5. Step 5: Solve for x
    x = 111,049,644,291.50/472,492.30
  6. Step 6: Final answer
    x = 235,029.53

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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.