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Finding the Fourth Proportional to 296,683.61, 409,423.77 and 160,717.82

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Solution

The fourth proportional to 296,683.61, 409,423.77 and 160,717.82 is: 221,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,683.61 : 409,423.77 = 160,717.82 : x
  2. Step 2: Convert to fraction form
    296,683.61/409,423.77 = 160,717.82/x
  3. Step 3: Cross multiply
    296,683.61x = 409,423.77 × 160,717.82
  4. Step 4: Simplify right side
    296,683.61x = 65,801,693,723.46
  5. Step 5: Solve for x
    x = 65,801,693,723.46/296,683.61
  6. Step 6: Final answer
    x = 221,790.80

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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.