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Finding the Fourth Proportional to 417,415.95, 626,422.87 and 177,697.92

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Solution

The fourth proportional to 417,415.95, 626,422.87 and 177,697.92 is: 266,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,415.95 : 626,422.87 = 177,697.92 : x
  2. Step 2: Convert to fraction form
    417,415.95/626,422.87 = 177,697.92/x
  3. Step 3: Cross multiply
    417,415.95x = 626,422.87 × 177,697.92
  4. Step 4: Simplify right side
    417,415.95x = 111,314,041,039.43
  5. Step 5: Solve for x
    x = 111,314,041,039.43/417,415.95
  6. Step 6: Final answer
    x = 266,674.14

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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.