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Finding the Fourth Proportional to 565,132.80, 847,699.20 and 144,441.60

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Solution

The fourth proportional to 565,132.80, 847,699.20 and 144,441.60 is: 216,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,132.80 : 847,699.20 = 144,441.60 : x
  2. Step 2: Convert to fraction form
    565,132.80/847,699.20 = 144,441.60/x
  3. Step 3: Cross multiply
    565,132.80x = 847,699.20 × 144,441.60
  4. Step 4: Simplify right side
    565,132.80x = 122,443,028,766.72
  5. Step 5: Solve for x
    x = 122,443,028,766.72/565,132.80
  6. Step 6: Final answer
    x = 216,662.40

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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.