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Finding the Fourth Proportional to 516,306.84, 709,976.69 and 448,204.77

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Solution

The fourth proportional to 516,306.84, 709,976.69 and 448,204.77 is: 616,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,306.84 : 709,976.69 = 448,204.77 : x
  2. Step 2: Convert to fraction form
    516,306.84/709,976.69 = 448,204.77/x
  3. Step 3: Cross multiply
    516,306.84x = 709,976.69 × 448,204.77
  4. Step 4: Simplify right side
    516,306.84x = 318,214,936,805.79
  5. Step 5: Solve for x
    x = 318,214,936,805.79/516,306.84
  6. Step 6: Final answer
    x = 616,329.11

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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.