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Finding the Fourth Proportional to 640,864.77, 961,874.95 and 341,594.61

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Solution

The fourth proportional to 640,864.77, 961,874.95 and 341,594.61 is: 512,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,864.77 : 961,874.95 = 341,594.61 : x
  2. Step 2: Convert to fraction form
    640,864.77/961,874.95 = 341,594.61/x
  3. Step 3: Cross multiply
    640,864.77x = 961,874.95 × 341,594.61
  4. Step 4: Simplify right side
    640,864.77x = 328,571,298,414.02
  5. Step 5: Solve for x
    x = 328,571,298,414.02/640,864.77
  6. Step 6: Final answer
    x = 512,699.89

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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.