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Finding the Fourth Proportional to 711,414.60, 981,783.56 and 409,705.80

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Solution

The fourth proportional to 711,414.60, 981,783.56 and 409,705.80 is: 565,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,414.60 : 981,783.56 = 409,705.80 : x
  2. Step 2: Convert to fraction form
    711,414.60/981,783.56 = 409,705.80/x
  3. Step 3: Cross multiply
    711,414.60x = 981,783.56 × 409,705.80
  4. Step 4: Simplify right side
    711,414.60x = 402,242,418,876.65
  5. Step 5: Solve for x
    x = 402,242,418,876.65/711,414.60
  6. Step 6: Final answer
    x = 565,412.09

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Double scale
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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.