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Finding the Fourth Proportional to 472,101.86, 708,362.13 and 247,408.88

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Solution

The fourth proportional to 472,101.86, 708,362.13 and 247,408.88 is: 371,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,101.86 : 708,362.13 = 247,408.88 : x
  2. Step 2: Convert to fraction form
    472,101.86/708,362.13 = 247,408.88/x
  3. Step 3: Cross multiply
    472,101.86x = 708,362.13 × 247,408.88
  4. Step 4: Simplify right side
    472,101.86x = 175,255,081,217.71
  5. Step 5: Solve for x
    x = 175,255,081,217.71/472,101.86
  6. Step 6: Final answer
    x = 371,223.03

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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.