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Finding the Fourth Proportional to 274,374.45, 413,618.14 and 256,085.66

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Solution

The fourth proportional to 274,374.45, 413,618.14 and 256,085.66 is: 386,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,374.45 : 413,618.14 = 256,085.66 : x
  2. Step 2: Convert to fraction form
    274,374.45/413,618.14 = 256,085.66/x
  3. Step 3: Cross multiply
    274,374.45x = 413,618.14 × 256,085.66
  4. Step 4: Simplify right side
    274,374.45x = 105,921,674,369.87
  5. Step 5: Solve for x
    x = 105,921,674,369.87/274,374.45
  6. Step 6: Final answer
    x = 386,047.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.