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Finding the Fourth Proportional to 296,047.34, 408,545.04 and 160,080.96

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Solution

The fourth proportional to 296,047.34, 408,545.04 and 160,080.96 is: 220,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,047.34 : 408,545.04 = 160,080.96 : x
  2. Step 2: Convert to fraction form
    296,047.34/408,545.04 = 160,080.96/x
  3. Step 3: Cross multiply
    296,047.34x = 408,545.04 × 160,080.96
  4. Step 4: Simplify right side
    296,047.34x = 65,400,283,088.93
  5. Step 5: Solve for x
    x = 65,400,283,088.93/296,047.34
  6. Step 6: Final answer
    x = 220,911.57

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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.