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Finding the Fourth Proportional to 385,263.60, 577,117.80 and 218,857.20

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Solution

The fourth proportional to 385,263.60, 577,117.80 and 218,857.20 is: 327,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,263.60 : 577,117.80 = 218,857.20 : x
  2. Step 2: Convert to fraction form
    385,263.60/577,117.80 = 218,857.20/x
  3. Step 3: Cross multiply
    385,263.60x = 577,117.80 × 218,857.20
  4. Step 4: Simplify right side
    385,263.60x = 126,306,385,778.16
  5. Step 5: Solve for x
    x = 126,306,385,778.16/385,263.60
  6. Step 6: Final answer
    x = 327,844.07

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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.