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Finding the Fourth Proportional to 587,898.24, 811,312.92 and 319,626.24

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Solution

The fourth proportional to 587,898.24, 811,312.92 and 319,626.24 is: 441,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,898.24 : 811,312.92 = 319,626.24 : x
  2. Step 2: Convert to fraction form
    587,898.24/811,312.92 = 319,626.24/x
  3. Step 3: Cross multiply
    587,898.24x = 811,312.92 × 319,626.24
  4. Step 4: Simplify right side
    587,898.24x = 259,316,898,083.02
  5. Step 5: Solve for x
    x = 259,316,898,083.02/587,898.24
  6. Step 6: Final answer
    x = 441,091.47

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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.