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Finding the Fourth Proportional to 611,776.86, 844,387 and 339,938.16

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Solution

The fourth proportional to 611,776.86, 844,387 and 339,938.16 is: 469,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,776.86 : 844,387 = 339,938.16 : x
  2. Step 2: Convert to fraction form
    611,776.86/844,387 = 339,938.16/x
  3. Step 3: Cross multiply
    611,776.86x = 844,387 × 339,938.16
  4. Step 4: Simplify right side
    611,776.86x = 287,039,363,107.92
  5. Step 5: Solve for x
    x = 287,039,363,107.92/611,776.86
  6. Step 6: Final answer
    x = 469,189.64

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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.