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Finding the Fourth Proportional to 472,200.76, 707,785.71 and 232,479.64

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Solution

The fourth proportional to 472,200.76, 707,785.71 and 232,479.64 is: 348,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,200.76 : 707,785.71 = 232,479.64 : x
  2. Step 2: Convert to fraction form
    472,200.76/707,785.71 = 232,479.64/x
  3. Step 3: Cross multiply
    472,200.76x = 707,785.71 × 232,479.64
  4. Step 4: Simplify right side
    472,200.76x = 164,545,767,057.94
  5. Step 5: Solve for x
    x = 164,545,767,057.94/472,200.76
  6. Step 6: Final answer
    x = 348,465.70

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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.