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Finding the Fourth Proportional to 413,311.68, 570,223.38 and 270,154.32

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Solution

The fourth proportional to 413,311.68, 570,223.38 and 270,154.32 is: 372,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,311.68 : 570,223.38 = 270,154.32 : x
  2. Step 2: Convert to fraction form
    413,311.68/570,223.38 = 270,154.32/x
  3. Step 3: Cross multiply
    413,311.68x = 570,223.38 × 270,154.32
  4. Step 4: Simplify right side
    413,311.68x = 154,048,309,472.00
  5. Step 5: Solve for x
    x = 154,048,309,472.00/413,311.68
  6. Step 6: Final answer
    x = 372,717.05

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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.