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Finding the Fourth Proportional to 656,214.93, 984,404.52 and 256,804.11

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Solution

The fourth proportional to 656,214.93, 984,404.52 and 256,804.11 is: 385,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,214.93 : 984,404.52 = 256,804.11 : x
  2. Step 2: Convert to fraction form
    656,214.93/984,404.52 = 256,804.11/x
  3. Step 3: Cross multiply
    656,214.93x = 984,404.52 × 256,804.11
  4. Step 4: Simplify right side
    656,214.93x = 252,799,126,638.58
  5. Step 5: Solve for x
    x = 252,799,126,638.58/656,214.93
  6. Step 6: Final answer
    x = 385,238.30

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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.