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Finding the Fourth Proportional to 296,391.52, 409,020.25 and 160,425.43

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Solution

The fourth proportional to 296,391.52, 409,020.25 and 160,425.43 is: 221,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,391.52 : 409,020.25 = 160,425.43 : x
  2. Step 2: Convert to fraction form
    296,391.52/409,020.25 = 160,425.43/x
  3. Step 3: Cross multiply
    296,391.52x = 409,020.25 × 160,425.43
  4. Step 4: Simplify right side
    296,391.52x = 65,617,249,484.96
  5. Step 5: Solve for x
    x = 65,617,249,484.96/296,391.52
  6. Step 6: Final answer
    x = 221,387.07

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1.5x scale

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.