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Finding the Fourth Proportional to 640,862.64, 961,871.76 and 341,592.48

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Solution

The fourth proportional to 640,862.64, 961,871.76 and 341,592.48 is: 512,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,862.64 : 961,871.76 = 341,592.48 : x
  2. Step 2: Convert to fraction form
    640,862.64/961,871.76 = 341,592.48/x
  3. Step 3: Cross multiply
    640,862.64x = 961,871.76 × 341,592.48
  4. Step 4: Simplify right side
    640,862.64x = 328,568,159,940.37
  5. Step 5: Solve for x
    x = 328,568,159,940.37/640,862.64
  6. Step 6: Final answer
    x = 512,696.70

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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.