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Finding the Fourth Proportional to 477,768.37, 716,726.31 and 174,188.11

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Solution

The fourth proportional to 477,768.37, 716,726.31 and 174,188.11 is: 261,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,768.37 : 716,726.31 = 174,188.11 : x
  2. Step 2: Convert to fraction form
    477,768.37/716,726.31 = 174,188.11/x
  3. Step 3: Cross multiply
    477,768.37x = 716,726.31 × 174,188.11
  4. Step 4: Simplify right side
    477,768.37x = 124,845,201,326.17
  5. Step 5: Solve for x
    x = 124,845,201,326.17/477,768.37
  6. Step 6: Final answer
    x = 261,309.06

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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.