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Finding the Fourth Proportional to 296,624.08, 409,338.75 and 160,654.87

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Solution

The fourth proportional to 296,624.08, 409,338.75 and 160,654.87 is: 221,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,624.08 : 409,338.75 = 160,654.87 : x
  2. Step 2: Convert to fraction form
    296,624.08/409,338.75 = 160,654.87/x
  3. Step 3: Cross multiply
    296,624.08x = 409,338.75 × 160,654.87
  4. Step 4: Simplify right side
    296,624.08x = 65,762,263,667.21
  5. Step 5: Solve for x
    x = 65,762,263,667.21/296,624.08
  6. Step 6: Final answer
    x = 221,702.38

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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.