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Finding the Fourth Proportional to 487,852.56, 731,756.88 and 203,425.92

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Solution

The fourth proportional to 487,852.56, 731,756.88 and 203,425.92 is: 305,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,852.56 : 731,756.88 = 203,425.92 : x
  2. Step 2: Convert to fraction form
    487,852.56/731,756.88 = 203,425.92/x
  3. Step 3: Cross multiply
    487,852.56x = 731,756.88 × 203,425.92
  4. Step 4: Simplify right side
    487,852.56x = 148,858,316,530.33
  5. Step 5: Solve for x
    x = 148,858,316,530.33/487,852.56
  6. Step 6: Final answer
    x = 305,129.72

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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.