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Finding the Fourth Proportional to 417,820.38, 626,570.62 and 177,784.13

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Solution

The fourth proportional to 417,820.38, 626,570.62 and 177,784.13 is: 266,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,820.38 : 626,570.62 = 177,784.13 : x
  2. Step 2: Convert to fraction form
    417,820.38/626,570.62 = 177,784.13/x
  3. Step 3: Cross multiply
    417,820.38x = 626,570.62 × 177,784.13
  4. Step 4: Simplify right side
    417,820.38x = 111,394,314,682.26
  5. Step 5: Solve for x
    x = 111,394,314,682.26/417,820.38
  6. Step 6: Final answer
    x = 266,608.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.