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Finding the Fourth Proportional to 387,006.40, 579,197.40 and 339,767.20

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Solution

The fourth proportional to 387,006.40, 579,197.40 and 339,767.20 is: 508,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,006.40 : 579,197.40 = 339,767.20 : x
  2. Step 2: Convert to fraction form
    387,006.40/579,197.40 = 339,767.20/x
  3. Step 3: Cross multiply
    387,006.40x = 579,197.40 × 339,767.20
  4. Step 4: Simplify right side
    387,006.40x = 196,792,278,845.28
  5. Step 5: Solve for x
    x = 196,792,278,845.28/387,006.40
  6. Step 6: Final answer
    x = 508,498.77

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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.