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Finding the Fourth Proportional to 317,205, 437,781.78 and 183,069

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Solution

The fourth proportional to 317,205, 437,781.78 and 183,069 is: 252,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,205 : 437,781.78 = 183,069 : x
  2. Step 2: Convert to fraction form
    317,205/437,781.78 = 183,069/x
  3. Step 3: Cross multiply
    317,205x = 437,781.78 × 183,069
  4. Step 4: Simplify right side
    317,205x = 80,144,272,682.82
  5. Step 5: Solve for x
    x = 80,144,272,682.82/317,205
  6. Step 6: Final answer
    x = 252,657.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.