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Finding the Fourth Proportional to 313,710.60, 470,565.90 and 292,974.60

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Solution

The fourth proportional to 313,710.60, 470,565.90 and 292,974.60 is: 439,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,710.60 : 470,565.90 = 292,974.60 : x
  2. Step 2: Convert to fraction form
    313,710.60/470,565.90 = 292,974.60/x
  3. Step 3: Cross multiply
    313,710.60x = 470,565.90 × 292,974.60
  4. Step 4: Simplify right side
    313,710.60x = 137,863,856,326.14
  5. Step 5: Solve for x
    x = 137,863,856,326.14/313,710.60
  6. Step 6: Final answer
    x = 439,461.90

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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.