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Finding the Fourth Proportional to 474,847.20, 712,040.40 and 264,261.60

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Solution

The fourth proportional to 474,847.20, 712,040.40 and 264,261.60 is: 396,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,847.20 : 712,040.40 = 264,261.60 : x
  2. Step 2: Convert to fraction form
    474,847.20/712,040.40 = 264,261.60/x
  3. Step 3: Cross multiply
    474,847.20x = 712,040.40 × 264,261.60
  4. Step 4: Simplify right side
    474,847.20x = 188,164,935,368.64
  5. Step 5: Solve for x
    x = 188,164,935,368.64/474,847.20
  6. Step 6: Final answer
    x = 396,264.18

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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.