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Finding the Fourth Proportional to 472,094.12, 708,350.50 and 247,401.14

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Solution

The fourth proportional to 472,094.12, 708,350.50 and 247,401.14 is: 371,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,094.12 : 708,350.50 = 247,401.14 : x
  2. Step 2: Convert to fraction form
    472,094.12/708,350.50 = 247,401.14/x
  3. Step 3: Cross multiply
    472,094.12x = 708,350.50 × 247,401.14
  4. Step 4: Simplify right side
    472,094.12x = 175,246,721,219.57
  5. Step 5: Solve for x
    x = 175,246,721,219.57/472,094.12
  6. Step 6: Final answer
    x = 371,211.40

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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.