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Finding the Fourth Proportional to 530,408.96, 732,235.20 and 409,278.08

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Solution

The fourth proportional to 530,408.96, 732,235.20 and 409,278.08 is: 565,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,408.96 : 732,235.20 = 409,278.08 : x
  2. Step 2: Convert to fraction form
    530,408.96/732,235.20 = 409,278.08/x
  3. Step 3: Cross multiply
    530,408.96x = 732,235.20 × 409,278.08
  4. Step 4: Simplify right side
    530,408.96x = 299,687,816,764.42
  5. Step 5: Solve for x
    x = 299,687,816,764.42/530,408.96
  6. Step 6: Final answer
    x = 565,012.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.