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Finding the Fourth Proportional to 413,594.28, 570,614.76 and 270,438.12

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Solution

The fourth proportional to 413,594.28, 570,614.76 and 270,438.12 is: 373,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,594.28 : 570,614.76 = 270,438.12 : x
  2. Step 2: Convert to fraction form
    413,594.28/570,614.76 = 270,438.12/x
  3. Step 3: Cross multiply
    413,594.28x = 570,614.76 × 270,438.12
  4. Step 4: Simplify right side
    413,594.28x = 154,315,982,938.65
  5. Step 5: Solve for x
    x = 154,315,982,938.65/413,594.28
  6. Step 6: Final answer
    x = 373,109.57

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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.