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Finding the Fourth Proportional to 409,975.20, 614,962.80 and 251,690.40

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Solution

The fourth proportional to 409,975.20, 614,962.80 and 251,690.40 is: 377,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,975.20 : 614,962.80 = 251,690.40 : x
  2. Step 2: Convert to fraction form
    409,975.20/614,962.80 = 251,690.40/x
  3. Step 3: Cross multiply
    409,975.20x = 614,962.80 × 251,690.40
  4. Step 4: Simplify right side
    409,975.20x = 154,780,233,117.12
  5. Step 5: Solve for x
    x = 154,780,233,117.12/409,975.20
  6. Step 6: Final answer
    x = 377,535.60

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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.