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Finding the Fourth Proportional to 296,468.92, 409,124.17 and 160,499.27

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Solution

The fourth proportional to 296,468.92, 409,124.17 and 160,499.27 is: 221,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,468.92 : 409,124.17 = 160,499.27 : x
  2. Step 2: Convert to fraction form
    296,468.92/409,124.17 = 160,499.27/x
  3. Step 3: Cross multiply
    296,468.92x = 409,124.17 × 160,499.27
  4. Step 4: Simplify right side
    296,468.92x = 65,664,130,624.36
  5. Step 5: Solve for x
    x = 65,664,130,624.36/296,468.92
  6. Step 6: Final answer
    x = 221,487.40

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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.