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Finding the Fourth Proportional to 385,203.60, 577,805.40 and 227,350.80

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Solution

The fourth proportional to 385,203.60, 577,805.40 and 227,350.80 is: 341,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,203.60 : 577,805.40 = 227,350.80 : x
  2. Step 2: Convert to fraction form
    385,203.60/577,805.40 = 227,350.80/x
  3. Step 3: Cross multiply
    385,203.60x = 577,805.40 × 227,350.80
  4. Step 4: Simplify right side
    385,203.60x = 131,364,519,934.32
  5. Step 5: Solve for x
    x = 131,364,519,934.32/385,203.60
  6. Step 6: Final answer
    x = 341,026.20

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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.