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Finding the Fourth Proportional to 359,637.68, 496,467.96 and 208,705.52

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Solution

The fourth proportional to 359,637.68, 496,467.96 and 208,705.52 is: 288,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,637.68 : 496,467.96 = 208,705.52 : x
  2. Step 2: Convert to fraction form
    359,637.68/496,467.96 = 208,705.52/x
  3. Step 3: Cross multiply
    359,637.68x = 496,467.96 × 208,705.52
  4. Step 4: Simplify right side
    359,637.68x = 103,615,603,755.14
  5. Step 5: Solve for x
    x = 103,615,603,755.14/359,637.68
  6. Step 6: Final answer
    x = 288,111.09

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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.