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Finding the Fourth Proportional to 711,657.88, 981,951.42 and 405,728.44

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Solution

The fourth proportional to 711,657.88, 981,951.42 and 405,728.44 is: 559,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,657.88 : 981,951.42 = 405,728.44 : x
  2. Step 2: Convert to fraction form
    711,657.88/981,951.42 = 405,728.44/x
  3. Step 3: Cross multiply
    711,657.88x = 981,951.42 × 405,728.44
  4. Step 4: Simplify right side
    711,657.88x = 398,405,617,792.39
  5. Step 5: Solve for x
    x = 398,405,617,792.39/711,657.88
  6. Step 6: Final answer
    x = 559,827.45

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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.