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Finding the Fourth Proportional to 487,371.60, 731,057.40 and 206,852.40

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Solution

The fourth proportional to 487,371.60, 731,057.40 and 206,852.40 is: 310,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,371.60 : 731,057.40 = 206,852.40 : x
  2. Step 2: Convert to fraction form
    487,371.60/731,057.40 = 206,852.40/x
  3. Step 3: Cross multiply
    487,371.60x = 731,057.40 × 206,852.40
  4. Step 4: Simplify right side
    487,371.60x = 151,220,977,727.76
  5. Step 5: Solve for x
    x = 151,220,977,727.76/487,371.60
  6. Step 6: Final answer
    x = 310,278.60

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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.