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Finding the Fourth Proportional to 609,906.60, 841,968.54 and 406,078.20

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Solution

The fourth proportional to 609,906.60, 841,968.54 and 406,078.20 is: 560,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,906.60 : 841,968.54 = 406,078.20 : x
  2. Step 2: Convert to fraction form
    609,906.60/841,968.54 = 406,078.20/x
  3. Step 3: Cross multiply
    609,906.60x = 841,968.54 × 406,078.20
  4. Step 4: Simplify right side
    609,906.60x = 341,905,069,179.83
  5. Step 5: Solve for x
    x = 341,905,069,179.83/609,906.60
  6. Step 6: Final answer
    x = 560,585.95

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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.