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Finding the Fourth Proportional to 472,564.20, 708,846.30 and 466,343.40

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Solution

The fourth proportional to 472,564.20, 708,846.30 and 466,343.40 is: 699,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,564.20 : 708,846.30 = 466,343.40 : x
  2. Step 2: Convert to fraction form
    472,564.20/708,846.30 = 466,343.40/x
  3. Step 3: Cross multiply
    472,564.20x = 708,846.30 × 466,343.40
  4. Step 4: Simplify right side
    472,564.20x = 330,565,793,619.42
  5. Step 5: Solve for x
    x = 330,565,793,619.42/472,564.20
  6. Step 6: Final answer
    x = 699,515.10

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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.