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Finding the Fourth Proportional to 384,798.60, 577,197.90 and 225,366.30

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Solution

The fourth proportional to 384,798.60, 577,197.90 and 225,366.30 is: 338,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,798.60 : 577,197.90 = 225,366.30 : x
  2. Step 2: Convert to fraction form
    384,798.60/577,197.90 = 225,366.30/x
  3. Step 3: Cross multiply
    384,798.60x = 577,197.90 × 225,366.30
  4. Step 4: Simplify right side
    384,798.60x = 130,080,955,090.77
  5. Step 5: Solve for x
    x = 130,080,955,090.77/384,798.60
  6. Step 6: Final answer
    x = 338,049.45

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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.