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Finding the Fourth Proportional to 622,765.60, 934,148.40 and 410,189.20

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Solution

The fourth proportional to 622,765.60, 934,148.40 and 410,189.20 is: 615,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,765.60 : 934,148.40 = 410,189.20 : x
  2. Step 2: Convert to fraction form
    622,765.60/934,148.40 = 410,189.20/x
  3. Step 3: Cross multiply
    622,765.60x = 934,148.40 × 410,189.20
  4. Step 4: Simplify right side
    622,765.60x = 383,177,584,877.28
  5. Step 5: Solve for x
    x = 383,177,584,877.28/622,765.60
  6. Step 6: Final answer
    x = 615,283.80

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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.