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Finding the Fourth Proportional to 487,901.80, 731,507.10 and 188,266.60

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Solution

The fourth proportional to 487,901.80, 731,507.10 and 188,266.60 is: 282,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,901.80 : 731,507.10 = 188,266.60 : x
  2. Step 2: Convert to fraction form
    487,901.80/731,507.10 = 188,266.60/x
  3. Step 3: Cross multiply
    487,901.80x = 731,507.10 × 188,266.60
  4. Step 4: Simplify right side
    487,901.80x = 137,718,354,592.86
  5. Step 5: Solve for x
    x = 137,718,354,592.86/487,901.80
  6. Step 6: Final answer
    x = 282,266.54

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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.