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Finding the Fourth Proportional to 422,656.98, 583,263.99 and 231,678.42

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Solution

The fourth proportional to 422,656.98, 583,263.99 and 231,678.42 is: 319,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,656.98 : 583,263.99 = 231,678.42 : x
  2. Step 2: Convert to fraction form
    422,656.98/583,263.99 = 231,678.42/x
  3. Step 3: Cross multiply
    422,656.98x = 583,263.99 × 231,678.42
  4. Step 4: Simplify right side
    422,656.98x = 135,129,679,646.10
  5. Step 5: Solve for x
    x = 135,129,679,646.10/422,656.98
  6. Step 6: Final answer
    x = 319,714.77

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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.