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Finding the Fourth Proportional to 359,710.48, 496,323.48 and 208,726.48

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Solution

The fourth proportional to 359,710.48, 496,323.48 and 208,726.48 is: 287,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,710.48 : 496,323.48 = 208,726.48 : x
  2. Step 2: Convert to fraction form
    359,710.48/496,323.48 = 208,726.48/x
  3. Step 3: Cross multiply
    359,710.48x = 496,323.48 × 208,726.48
  4. Step 4: Simplify right side
    359,710.48x = 103,595,852,921.75
  5. Step 5: Solve for x
    x = 103,595,852,921.75/359,710.48
  6. Step 6: Final answer
    x = 287,997.87

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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.