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Finding the Fourth Proportional to 409,277.93, 564,820.57 and 227,989.81

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Solution

The fourth proportional to 409,277.93, 564,820.57 and 227,989.81 is: 314,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,277.93 : 564,820.57 = 227,989.81 : x
  2. Step 2: Convert to fraction form
    409,277.93/564,820.57 = 227,989.81/x
  3. Step 3: Cross multiply
    409,277.93x = 564,820.57 × 227,989.81
  4. Step 4: Simplify right side
    409,277.93x = 128,773,335,416.52
  5. Step 5: Solve for x
    x = 128,773,335,416.52/409,277.93
  6. Step 6: Final answer
    x = 314,635.42

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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.