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Finding the Fourth Proportional to 355,141.80, 532,712.70 and 316,434.60

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Solution

The fourth proportional to 355,141.80, 532,712.70 and 316,434.60 is: 474,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,141.80 : 532,712.70 = 316,434.60 : x
  2. Step 2: Convert to fraction form
    355,141.80/532,712.70 = 316,434.60/x
  3. Step 3: Cross multiply
    355,141.80x = 532,712.70 × 316,434.60
  4. Step 4: Simplify right side
    355,141.80x = 168,568,730,139.42
  5. Step 5: Solve for x
    x = 168,568,730,139.42/355,141.80
  6. Step 6: Final answer
    x = 474,651.90

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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.