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Finding the Fourth Proportional to 711,224.16, 981,506.39 and 405,294

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Solution

The fourth proportional to 711,224.16, 981,506.39 and 405,294 is: 559,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,224.16 : 981,506.39 = 405,294 : x
  2. Step 2: Convert to fraction form
    711,224.16/981,506.39 = 405,294/x
  3. Step 3: Cross multiply
    711,224.16x = 981,506.39 × 405,294
  4. Step 4: Simplify right side
    711,224.16x = 397,798,648,802.19
  5. Step 5: Solve for x
    x = 397,798,648,802.19/711,224.16
  6. Step 6: Final answer
    x = 559,315.43

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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.