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Finding the Fourth Proportional to 410,931.16, 566,717.88 and 257,983.62

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Solution

The fourth proportional to 410,931.16, 566,717.88 and 257,983.62 is: 355,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,931.16 : 566,717.88 = 257,983.62 : x
  2. Step 2: Convert to fraction form
    410,931.16/566,717.88 = 257,983.62/x
  3. Step 3: Cross multiply
    410,931.16x = 566,717.88 × 257,983.62
  4. Step 4: Simplify right side
    410,931.16x = 146,203,930,201.13
  5. Step 5: Solve for x
    x = 146,203,930,201.13/410,931.16
  6. Step 6: Final answer
    x = 355,786.92

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