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Finding the Fourth Proportional to 417,409.71, 626,063.48 and 177,619.94

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Solution

The fourth proportional to 417,409.71, 626,063.48 and 177,619.94 is: 266,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,409.71 : 626,063.48 = 177,619.94 : x
  2. Step 2: Convert to fraction form
    417,409.71/626,063.48 = 177,619.94/x
  3. Step 3: Cross multiply
    417,409.71x = 626,063.48 × 177,619.94
  4. Step 4: Simplify right side
    417,409.71x = 111,201,356,749.19
  5. Step 5: Solve for x
    x = 111,201,356,749.19/417,409.71
  6. Step 6: Final answer
    x = 266,408.17

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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.