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Finding the Fourth Proportional to 487,564.60, 731,087.70 and 206,764.60

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Solution

The fourth proportional to 487,564.60, 731,087.70 and 206,764.60 is: 310,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,564.60 : 731,087.70 = 206,764.60 : x
  2. Step 2: Convert to fraction form
    487,564.60/731,087.70 = 206,764.60/x
  3. Step 3: Cross multiply
    487,564.60x = 731,087.70 × 206,764.60
  4. Step 4: Simplify right side
    487,564.60x = 151,163,055,855.42
  5. Step 5: Solve for x
    x = 151,163,055,855.42/487,564.60
  6. Step 6: Final answer
    x = 310,036.98

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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.