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Finding the Fourth Proportional to 359,773.52, 496,545.80 and 208,958

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Solution

The fourth proportional to 359,773.52, 496,545.80 and 208,958 is: 288,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,773.52 : 496,545.80 = 208,958 : x
  2. Step 2: Convert to fraction form
    359,773.52/496,545.80 = 208,958/x
  3. Step 3: Cross multiply
    359,773.52x = 496,545.80 × 208,958
  4. Step 4: Simplify right side
    359,773.52x = 103,757,217,276.40
  5. Step 5: Solve for x
    x = 103,757,217,276.40/359,773.52
  6. Step 6: Final answer
    x = 288,395.93

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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.