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Finding the Fourth Proportional to 518,722.95, 715,823.40 and 289,287.21

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Solution

The fourth proportional to 518,722.95, 715,823.40 and 289,287.21 is: 399,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,722.95 : 715,823.40 = 289,287.21 : x
  2. Step 2: Convert to fraction form
    518,722.95/715,823.40 = 289,287.21/x
  3. Step 3: Cross multiply
    518,722.95x = 715,823.40 × 289,287.21
  4. Step 4: Simplify right side
    518,722.95x = 207,078,554,238.71
  5. Step 5: Solve for x
    x = 207,078,554,238.71/518,722.95
  6. Step 6: Final answer
    x = 399,208.39

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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.