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Finding the Fourth Proportional to 530,723.34, 732,390.96 and 301,278.62

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Solution

The fourth proportional to 530,723.34, 732,390.96 and 301,278.62 is: 415,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,723.34 : 732,390.96 = 301,278.62 : x
  2. Step 2: Convert to fraction form
    530,723.34/732,390.96 = 301,278.62/x
  3. Step 3: Cross multiply
    530,723.34x = 732,390.96 × 301,278.62
  4. Step 4: Simplify right side
    530,723.34x = 220,653,737,729.28
  5. Step 5: Solve for x
    x = 220,653,737,729.28/530,723.34
  6. Step 6: Final answer
    x = 415,760.38

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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.