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Finding the Fourth Proportional to 296,709.38, 409,458.44 and 160,746.78

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Solution

The fourth proportional to 296,709.38, 409,458.44 and 160,746.78 is: 221,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,709.38 : 409,458.44 = 160,746.78 : x
  2. Step 2: Convert to fraction form
    296,709.38/409,458.44 = 160,746.78/x
  3. Step 3: Cross multiply
    296,709.38x = 409,458.44 × 160,746.78
  4. Step 4: Simplify right side
    296,709.38x = 65,819,125,407.96
  5. Step 5: Solve for x
    x = 65,819,125,407.96/296,709.38
  6. Step 6: Final answer
    x = 221,830.28

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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.