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Finding the Fourth Proportional to 518,437.50, 715,443.75 and 279,973.50

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Solution

The fourth proportional to 518,437.50, 715,443.75 and 279,973.50 is: 386,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,437.50 : 715,443.75 = 279,973.50 : x
  2. Step 2: Convert to fraction form
    518,437.50/715,443.75 = 279,973.50/x
  3. Step 3: Cross multiply
    518,437.50x = 715,443.75 × 279,973.50
  4. Step 4: Simplify right side
    518,437.50x = 200,305,290,740.63
  5. Step 5: Solve for x
    x = 200,305,290,740.63/518,437.50
  6. Step 6: Final answer
    x = 386,363.43

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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.