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Finding the Fourth Proportional to 711,381.58, 981,738.03 and 409,672.78

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Solution

The fourth proportional to 711,381.58, 981,738.03 and 409,672.78 is: 565,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,381.58 : 981,738.03 = 409,672.78 : x
  2. Step 2: Convert to fraction form
    711,381.58/981,738.03 = 409,672.78/x
  3. Step 3: Cross multiply
    711,381.58x = 981,738.03 × 409,672.78
  4. Step 4: Simplify right side
    711,381.58x = 402,191,347,981.82
  5. Step 5: Solve for x
    x = 402,191,347,981.82/711,381.58
  6. Step 6: Final answer
    x = 565,366.55

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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.