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Finding the Fourth Proportional to 409,615.20, 615,344.40 and 285,199.20

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Solution

The fourth proportional to 409,615.20, 615,344.40 and 285,199.20 is: 428,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,615.20 : 615,344.40 = 285,199.20 : x
  2. Step 2: Convert to fraction form
    409,615.20/615,344.40 = 285,199.20/x
  3. Step 3: Cross multiply
    409,615.20x = 615,344.40 × 285,199.20
  4. Step 4: Simplify right side
    409,615.20x = 175,495,730,604.48
  5. Step 5: Solve for x
    x = 175,495,730,604.48/409,615.20
  6. Step 6: Final answer
    x = 428,440.47

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1.5x scale

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.