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Finding the Fourth Proportional to 463,098.66, 694,640.40 and 147,551.28

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Solution

The fourth proportional to 463,098.66, 694,640.40 and 147,551.28 is: 221,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,098.66 : 694,640.40 = 147,551.28 : x
  2. Step 2: Convert to fraction form
    463,098.66/694,640.40 = 147,551.28/x
  3. Step 3: Cross multiply
    463,098.66x = 694,640.40 × 147,551.28
  4. Step 4: Simplify right side
    463,098.66x = 102,495,080,159.71
  5. Step 5: Solve for x
    x = 102,495,080,159.71/463,098.66
  6. Step 6: Final answer
    x = 221,324.50

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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.