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Finding the Fourth Proportional to 464,044.38, 640,434.24 and 260,150.28

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Solution

The fourth proportional to 464,044.38, 640,434.24 and 260,150.28 is: 359,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,044.38 : 640,434.24 = 260,150.28 : x
  2. Step 2: Convert to fraction form
    464,044.38/640,434.24 = 260,150.28/x
  3. Step 3: Cross multiply
    464,044.38x = 640,434.24 × 260,150.28
  4. Step 4: Simplify right side
    464,044.38x = 166,609,146,857.59
  5. Step 5: Solve for x
    x = 166,609,146,857.59/464,044.38
  6. Step 6: Final answer
    x = 359,037.10

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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.