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Finding the Fourth Proportional to 472,176.20, 708,264.30 and 313,891.40

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Solution

The fourth proportional to 472,176.20, 708,264.30 and 313,891.40 is: 470,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,176.20 : 708,264.30 = 313,891.40 : x
  2. Step 2: Convert to fraction form
    472,176.20/708,264.30 = 313,891.40/x
  3. Step 3: Cross multiply
    472,176.20x = 708,264.30 × 313,891.40
  4. Step 4: Simplify right side
    472,176.20x = 222,318,072,697.02
  5. Step 5: Solve for x
    x = 222,318,072,697.02/472,176.20
  6. Step 6: Final answer
    x = 470,837.10

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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.