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Finding the Fourth Proportional to 711,223.66, 981,505.70 and 405,293.50

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Solution

The fourth proportional to 711,223.66, 981,505.70 and 405,293.50 is: 559,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,223.66 : 981,505.70 = 405,293.50 : x
  2. Step 2: Convert to fraction form
    711,223.66/981,505.70 = 405,293.50/x
  3. Step 3: Cross multiply
    711,223.66x = 981,505.70 × 405,293.50
  4. Step 4: Simplify right side
    711,223.66x = 397,797,878,396.48
  5. Step 5: Solve for x
    x = 397,797,878,396.48/711,223.66
  6. Step 6: Final answer
    x = 559,314.74

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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.