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Finding the Fourth Proportional to 472,405.20, 708,607.80 and 454,034.40

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Solution

The fourth proportional to 472,405.20, 708,607.80 and 454,034.40 is: 681,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,405.20 : 708,607.80 = 454,034.40 : x
  2. Step 2: Convert to fraction form
    472,405.20/708,607.80 = 454,034.40/x
  3. Step 3: Cross multiply
    472,405.20x = 708,607.80 × 454,034.40
  4. Step 4: Simplify right side
    472,405.20x = 321,732,317,308.32
  5. Step 5: Solve for x
    x = 321,732,317,308.32/472,405.20
  6. Step 6: Final answer
    x = 681,051.60

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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.