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Finding the Fourth Proportional to 415,225.60, 622,838.40 and 282,515.20

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Solution

The fourth proportional to 415,225.60, 622,838.40 and 282,515.20 is: 423,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,225.60 : 622,838.40 = 282,515.20 : x
  2. Step 2: Convert to fraction form
    415,225.60/622,838.40 = 282,515.20/x
  3. Step 3: Cross multiply
    415,225.60x = 622,838.40 × 282,515.20
  4. Step 4: Simplify right side
    415,225.60x = 175,961,315,143.68
  5. Step 5: Solve for x
    x = 175,961,315,143.68/415,225.60
  6. Step 6: Final answer
    x = 423,772.80

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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.