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Finding the Fourth Proportional to 469,009.60, 647,526.72 and 361,375.36

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Solution

The fourth proportional to 469,009.60, 647,526.72 and 361,375.36 is: 498,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,009.60 : 647,526.72 = 361,375.36 : x
  2. Step 2: Convert to fraction form
    469,009.60/647,526.72 = 361,375.36/x
  3. Step 3: Cross multiply
    469,009.60x = 647,526.72 × 361,375.36
  4. Step 4: Simplify right side
    469,009.60x = 234,000,201,549.62
  5. Step 5: Solve for x
    x = 234,000,201,549.62/469,009.60
  6. Step 6: Final answer
    x = 498,924.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.