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Finding the Fourth Proportional to 488,644.60, 733,064.10 and 410,301.40

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Solution

The fourth proportional to 488,644.60, 733,064.10 and 410,301.40 is: 615,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,644.60 : 733,064.10 = 410,301.40 : x
  2. Step 2: Convert to fraction form
    488,644.60/733,064.10 = 410,301.40/x
  3. Step 3: Cross multiply
    488,644.60x = 733,064.10 × 410,301.40
  4. Step 4: Simplify right side
    488,644.60x = 300,777,226,519.74
  5. Step 5: Solve for x
    x = 300,777,226,519.74/488,644.60
  6. Step 6: Final answer
    x = 615,533.72

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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.