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Finding the Fourth Proportional to 296,503.54, 409,174.34 and 160,537.61

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Solution

The fourth proportional to 296,503.54, 409,174.34 and 160,537.61 is: 221,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,503.54 : 409,174.34 = 160,537.61 : x
  2. Step 2: Convert to fraction form
    296,503.54/409,174.34 = 160,537.61/x
  3. Step 3: Cross multiply
    296,503.54x = 409,174.34 × 160,537.61
  4. Step 4: Simplify right side
    296,503.54x = 65,687,870,837.18
  5. Step 5: Solve for x
    x = 65,687,870,837.18/296,503.54
  6. Step 6: Final answer
    x = 221,541.61

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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.