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Finding the Fourth Proportional to 296,686.26, 409,428.27 and 160,720.47

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Solution

The fourth proportional to 296,686.26, 409,428.27 and 160,720.47 is: 221,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,686.26 : 409,428.27 = 160,720.47 : x
  2. Step 2: Convert to fraction form
    296,686.26/409,428.27 = 160,720.47/x
  3. Step 3: Cross multiply
    296,686.26x = 409,428.27 × 160,720.47
  4. Step 4: Simplify right side
    296,686.26x = 65,803,503,985.69
  5. Step 5: Solve for x
    x = 65,803,503,985.69/296,686.26
  6. Step 6: Final answer
    x = 221,794.92

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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.