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Finding the Fourth Proportional to 460,614.40, 691,310.40 and 224,159.20

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Solution

The fourth proportional to 460,614.40, 691,310.40 and 224,159.20 is: 336,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,614.40 : 691,310.40 = 224,159.20 : x
  2. Step 2: Convert to fraction form
    460,614.40/691,310.40 = 224,159.20/x
  3. Step 3: Cross multiply
    460,614.40x = 691,310.40 × 224,159.20
  4. Step 4: Simplify right side
    460,614.40x = 154,963,586,215.68
  5. Step 5: Solve for x
    x = 154,963,586,215.68/460,614.40
  6. Step 6: Final answer
    x = 336,428.01

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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.