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Finding the Fourth Proportional to 487,158.60, 729,701.10 and 404,214.60

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Solution

The fourth proportional to 487,158.60, 729,701.10 and 404,214.60 is: 605,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,158.60 : 729,701.10 = 404,214.60 : x
  2. Step 2: Convert to fraction form
    487,158.60/729,701.10 = 404,214.60/x
  3. Step 3: Cross multiply
    487,158.60x = 729,701.10 × 404,214.60
  4. Step 4: Simplify right side
    487,158.60x = 294,955,838,256.06
  5. Step 5: Solve for x
    x = 294,955,838,256.06/487,158.60
  6. Step 6: Final answer
    x = 605,461.63

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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.