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Finding the Fourth Proportional to 409,813.20, 614,719.80 and 409,813.20

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Solution

The fourth proportional to 409,813.20, 614,719.80 and 409,813.20 is: 614,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,813.20 : 614,719.80 = 409,813.20 : x
  2. Step 2: Convert to fraction form
    409,813.20/614,719.80 = 409,813.20/x
  3. Step 3: Cross multiply
    409,813.20x = 614,719.80 × 409,813.20
  4. Step 4: Simplify right side
    409,813.20x = 251,920,288,341.36
  5. Step 5: Solve for x
    x = 251,920,288,341.36/409,813.20
  6. Step 6: Final answer
    x = 614,719.80

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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.