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Finding the Fourth Proportional to 565,207.60, 847,811.40 and 144,461.20

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Solution

The fourth proportional to 565,207.60, 847,811.40 and 144,461.20 is: 216,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,207.60 : 847,811.40 = 144,461.20 : x
  2. Step 2: Convert to fraction form
    565,207.60/847,811.40 = 144,461.20/x
  3. Step 3: Cross multiply
    565,207.60x = 847,811.40 × 144,461.20
  4. Step 4: Simplify right side
    565,207.60x = 122,475,852,217.68
  5. Step 5: Solve for x
    x = 122,475,852,217.68/565,207.60
  6. Step 6: Final answer
    x = 216,691.80

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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.