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Finding the Fourth Proportional to 417,745.47, 626,617.78 and 148,071.16

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Solution

The fourth proportional to 417,745.47, 626,617.78 and 148,071.16 is: 222,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,745.47 : 626,617.78 = 148,071.16 : x
  2. Step 2: Convert to fraction form
    417,745.47/626,617.78 = 148,071.16/x
  3. Step 3: Cross multiply
    417,745.47x = 626,617.78 × 148,071.16
  4. Step 4: Simplify right side
    417,745.47x = 92,784,021,561.22
  5. Step 5: Solve for x
    x = 92,784,021,561.22/417,745.47
  6. Step 6: Final answer
    x = 222,106.59

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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.