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Finding the Fourth Proportional to 518,204.66, 715,111.65 and 288,761.00

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Solution

The fourth proportional to 518,204.66, 715,111.65 and 288,761.00 is: 398,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,204.66 : 715,111.65 = 288,761.00 : x
  2. Step 2: Convert to fraction form
    518,204.66/715,111.65 = 288,761.00/x
  3. Step 3: Cross multiply
    518,204.66x = 715,111.65 × 288,761.00
  4. Step 4: Simplify right side
    518,204.66x = 206,496,351,590.09
  5. Step 5: Solve for x
    x = 206,496,351,590.09/518,204.66
  6. Step 6: Final answer
    x = 398,484.17

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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.