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Finding the Fourth Proportional to 585,098.19, 877,584.39 and 396,767.42

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Solution

The fourth proportional to 585,098.19, 877,584.39 and 396,767.42 is: 595,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,098.19 : 877,584.39 = 396,767.42 : x
  2. Step 2: Convert to fraction form
    585,098.19/877,584.39 = 396,767.42/x
  3. Step 3: Cross multiply
    585,098.19x = 877,584.39 × 396,767.42
  4. Step 4: Simplify right side
    585,098.19x = 348,196,889,864.65
  5. Step 5: Solve for x
    x = 348,196,889,864.65/585,098.19
  6. Step 6: Final answer
    x = 595,108.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.