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Finding the Fourth Proportional to 605,231.40, 907,847.10 and 406,165.80

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Solution

The fourth proportional to 605,231.40, 907,847.10 and 406,165.80 is: 609,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,231.40 : 907,847.10 = 406,165.80 : x
  2. Step 2: Convert to fraction form
    605,231.40/907,847.10 = 406,165.80/x
  3. Step 3: Cross multiply
    605,231.40x = 907,847.10 × 406,165.80
  4. Step 4: Simplify right side
    605,231.40x = 368,736,443,649.18
  5. Step 5: Solve for x
    x = 368,736,443,649.18/605,231.40
  6. Step 6: Final answer
    x = 609,248.70

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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.