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Finding the Fourth Proportional to 487,102.60, 729,617.10 and 404,158.60

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Solution

The fourth proportional to 487,102.60, 729,617.10 and 404,158.60 is: 605,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,102.60 : 729,617.10 = 404,158.60 : x
  2. Step 2: Convert to fraction form
    487,102.60/729,617.10 = 404,158.60/x
  3. Step 3: Cross multiply
    487,102.60x = 729,617.10 × 404,158.60
  4. Step 4: Simplify right side
    487,102.60x = 294,881,025,672.06
  5. Step 5: Solve for x
    x = 294,881,025,672.06/487,102.60
  6. Step 6: Final answer
    x = 605,377.65

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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.