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Finding the Fourth Proportional to 700,083.12, 966,235.28 and 405,691.56

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Solution

The fourth proportional to 700,083.12, 966,235.28 and 405,691.56 is: 559,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,083.12 : 966,235.28 = 405,691.56 : x
  2. Step 2: Convert to fraction form
    700,083.12/966,235.28 = 405,691.56/x
  3. Step 3: Cross multiply
    700,083.12x = 966,235.28 × 405,691.56
  4. Step 4: Simplify right side
    700,083.12x = 391,993,498,070.24
  5. Step 5: Solve for x
    x = 391,993,498,070.24/700,083.12
  6. Step 6: Final answer
    x = 559,924.22

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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.