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Finding the Fourth Proportional to 575,385.60, 863,143.20 and 176,023.20

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Solution

The fourth proportional to 575,385.60, 863,143.20 and 176,023.20 is: 264,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,385.60 : 863,143.20 = 176,023.20 : x
  2. Step 2: Convert to fraction form
    575,385.60/863,143.20 = 176,023.20/x
  3. Step 3: Cross multiply
    575,385.60x = 863,143.20 × 176,023.20
  4. Step 4: Simplify right side
    575,385.60x = 151,933,228,122.24
  5. Step 5: Solve for x
    x = 151,933,228,122.24/575,385.60
  6. Step 6: Final answer
    x = 264,054.62

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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.