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Finding the Fourth Proportional to 385,231.68, 531,590.85 and 215,433

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Solution

The fourth proportional to 385,231.68, 531,590.85 and 215,433 is: 297,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,231.68 : 531,590.85 = 215,433 : x
  2. Step 2: Convert to fraction form
    385,231.68/531,590.85 = 215,433/x
  3. Step 3: Cross multiply
    385,231.68x = 531,590.85 × 215,433
  4. Step 4: Simplify right side
    385,231.68x = 114,522,211,588.05
  5. Step 5: Solve for x
    x = 114,522,211,588.05/385,231.68
  6. Step 6: Final answer
    x = 297,281.40

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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.