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Finding the Fourth Proportional to 711,498.16, 981,890.74 and 405,569

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Solution

The fourth proportional to 711,498.16, 981,890.74 and 405,569 is: 559,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,498.16 : 981,890.74 = 405,569 : x
  2. Step 2: Convert to fraction form
    711,498.16/981,890.74 = 405,569/x
  3. Step 3: Cross multiply
    711,498.16x = 981,890.74 × 405,569
  4. Step 4: Simplify right side
    711,498.16x = 398,224,445,531.06
  5. Step 5: Solve for x
    x = 398,224,445,531.06/711,498.16
  6. Step 6: Final answer
    x = 559,698.49

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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.