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Finding the Fourth Proportional to 296,421.33, 409,061.68 and 160,454.86

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Solution

The fourth proportional to 296,421.33, 409,061.68 and 160,454.86 is: 221,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,421.33 : 409,061.68 = 160,454.86 : x
  2. Step 2: Convert to fraction form
    296,421.33/409,061.68 = 160,454.86/x
  3. Step 3: Cross multiply
    296,421.33x = 409,061.68 × 160,454.86
  4. Step 4: Simplify right side
    296,421.33x = 65,635,934,595.76
  5. Step 5: Solve for x
    x = 65,635,934,595.76/296,421.33
  6. Step 6: Final answer
    x = 221,427.84

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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.