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Finding the Fourth Proportional to 447,605.68, 616,519.16 and 344,041.82

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Solution

The fourth proportional to 447,605.68, 616,519.16 and 344,041.82 is: 473,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,605.68 : 616,519.16 = 344,041.82 : x
  2. Step 2: Convert to fraction form
    447,605.68/616,519.16 = 344,041.82/x
  3. Step 3: Cross multiply
    447,605.68x = 616,519.16 × 344,041.82
  4. Step 4: Simplify right side
    447,605.68x = 212,108,373,871.27
  5. Step 5: Solve for x
    x = 212,108,373,871.27/447,605.68
  6. Step 6: Final answer
    x = 473,873.28

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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.