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Finding the Fourth Proportional to 359,827.41, 496,605.56 and 208,924.41

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Solution

The fourth proportional to 359,827.41, 496,605.56 and 208,924.41 is: 288,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,827.41 : 496,605.56 = 208,924.41 : x
  2. Step 2: Convert to fraction form
    359,827.41/496,605.56 = 208,924.41/x
  3. Step 3: Cross multiply
    359,827.41x = 496,605.56 × 208,924.41
  4. Step 4: Simplify right side
    359,827.41x = 103,753,022,285.76
  5. Step 5: Solve for x
    x = 103,753,022,285.76/359,827.41
  6. Step 6: Final answer
    x = 288,341.08

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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.