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Finding the Fourth Proportional to 518,697.45, 715,864.01 and 289,292.13

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Solution

The fourth proportional to 518,697.45, 715,864.01 and 289,292.13 is: 399,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,697.45 : 715,864.01 = 289,292.13 : x
  2. Step 2: Convert to fraction form
    518,697.45/715,864.01 = 289,292.13/x
  3. Step 3: Cross multiply
    518,697.45x = 715,864.01 × 289,292.13
  4. Step 4: Simplify right side
    518,697.45x = 207,093,822,796.78
  5. Step 5: Solve for x
    x = 207,093,822,796.78/518,697.45
  6. Step 6: Final answer
    x = 399,257.45

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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.