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Finding the Fourth Proportional to 408,426.30, 563,627.06 and 227,154.98

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Solution

The fourth proportional to 408,426.30, 563,627.06 and 227,154.98 is: 313,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,426.30 : 563,627.06 = 227,154.98 : x
  2. Step 2: Convert to fraction form
    408,426.30/563,627.06 = 227,154.98/x
  3. Step 3: Cross multiply
    408,426.30x = 563,627.06 × 227,154.98
  4. Step 4: Simplify right side
    408,426.30x = 128,030,694,666.88
  5. Step 5: Solve for x
    x = 128,030,694,666.88/408,426.30
  6. Step 6: Final answer
    x = 313,473.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.