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Finding the Fourth Proportional to 359,952.48, 496,798.02 and 206,978.58

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Solution

The fourth proportional to 359,952.48, 496,798.02 and 206,978.58 is: 285,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,952.48 : 496,798.02 = 206,978.58 : x
  2. Step 2: Convert to fraction form
    359,952.48/496,798.02 = 206,978.58/x
  3. Step 3: Cross multiply
    359,952.48x = 496,798.02 × 206,978.58
  4. Step 4: Simplify right side
    359,952.48x = 102,826,548,726.41
  5. Step 5: Solve for x
    x = 102,826,548,726.41/359,952.48
  6. Step 6: Final answer
    x = 285,667.01

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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.