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Finding the Fourth Proportional to 656,478.92, 984,884.28 and 183,164

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Solution

The fourth proportional to 656,478.92, 984,884.28 and 183,164 is: 274,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,478.92 : 984,884.28 = 183,164 : x
  2. Step 2: Convert to fraction form
    656,478.92/984,884.28 = 183,164/x
  3. Step 3: Cross multiply
    656,478.92x = 984,884.28 × 183,164
  4. Step 4: Simplify right side
    656,478.92x = 180,395,344,261.92
  5. Step 5: Solve for x
    x = 180,395,344,261.92/656,478.92
  6. Step 6: Final answer
    x = 274,792.29

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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.