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Finding the Fourth Proportional to 409,123.60, 564,550.29 and 227,828.59

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Solution

The fourth proportional to 409,123.60, 564,550.29 and 227,828.59 is: 314,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,123.60 : 564,550.29 = 227,828.59 : x
  2. Step 2: Convert to fraction form
    409,123.60/564,550.29 = 227,828.59/x
  3. Step 3: Cross multiply
    409,123.60x = 564,550.29 × 227,828.59
  4. Step 4: Simplify right side
    409,123.60x = 128,620,695,143.42
  5. Step 5: Solve for x
    x = 128,620,695,143.42/409,123.60
  6. Step 6: Final answer
    x = 314,381.02

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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.