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Finding the Fourth Proportional to 296,602.38, 409,309.23 and 160,633.23

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Solution

The fourth proportional to 296,602.38, 409,309.23 and 160,633.23 is: 221,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,602.38 : 409,309.23 = 160,633.23 : x
  2. Step 2: Convert to fraction form
    296,602.38/409,309.23 = 160,633.23/x
  3. Step 3: Cross multiply
    296,602.38x = 409,309.23 × 160,633.23
  4. Step 4: Simplify right side
    296,602.38x = 65,748,663,683.71
  5. Step 5: Solve for x
    x = 65,748,663,683.71/296,602.38
  6. Step 6: Final answer
    x = 221,672.74

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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.