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Finding the Fourth Proportional to 296,614.58, 409,326.02 and 160,645.40

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Solution

The fourth proportional to 296,614.58, 409,326.02 and 160,645.40 is: 221,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,614.58 : 409,326.02 = 160,645.40 : x
  2. Step 2: Convert to fraction form
    296,614.58/409,326.02 = 160,645.40/x
  3. Step 3: Cross multiply
    296,614.58x = 409,326.02 × 160,645.40
  4. Step 4: Simplify right side
    296,614.58x = 65,756,342,213.31
  5. Step 5: Solve for x
    x = 65,756,342,213.31/296,614.58
  6. Step 6: Final answer
    x = 221,689.51

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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.