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Finding the Fourth Proportional to 409,758.24, 614,630.04 and 156,970.20

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Solution

The fourth proportional to 409,758.24, 614,630.04 and 156,970.20 is: 235,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,758.24 : 614,630.04 = 156,970.20 : x
  2. Step 2: Convert to fraction form
    409,758.24/614,630.04 = 156,970.20/x
  3. Step 3: Cross multiply
    409,758.24x = 614,630.04 × 156,970.20
  4. Step 4: Simplify right side
    409,758.24x = 96,478,600,304.81
  5. Step 5: Solve for x
    x = 96,478,600,304.81/409,758.24
  6. Step 6: Final answer
    x = 235,452.50

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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.