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Finding the Fourth Proportional to 409,464.60, 614,585.70 and 252,000.60

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Solution

The fourth proportional to 409,464.60, 614,585.70 and 252,000.60 is: 378,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,464.60 : 614,585.70 = 252,000.60 : x
  2. Step 2: Convert to fraction form
    409,464.60/614,585.70 = 252,000.60/x
  3. Step 3: Cross multiply
    409,464.60x = 614,585.70 × 252,000.60
  4. Step 4: Simplify right side
    409,464.60x = 154,875,965,151.42
  5. Step 5: Solve for x
    x = 154,875,965,151.42/409,464.60
  6. Step 6: Final answer
    x = 378,240.18

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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.