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Finding the Fourth Proportional to 617,019.80, 851,478.28 and 345,085.38

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Solution

The fourth proportional to 617,019.80, 851,478.28 and 345,085.38 is: 476,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,019.80 : 851,478.28 = 345,085.38 : x
  2. Step 2: Convert to fraction form
    617,019.80/851,478.28 = 345,085.38/x
  3. Step 3: Cross multiply
    617,019.80x = 851,478.28 × 345,085.38
  4. Step 4: Simplify right side
    617,019.80x = 293,832,704,952.83
  5. Step 5: Solve for x
    x = 293,832,704,952.83/617,019.80
  6. Step 6: Final answer
    x = 476,212.77

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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.