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Finding the Fourth Proportional to 417,224.08, 626,063.19 and 177,300.46

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Solution

The fourth proportional to 417,224.08, 626,063.19 and 177,300.46 is: 266,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,224.08 : 626,063.19 = 177,300.46 : x
  2. Step 2: Convert to fraction form
    417,224.08/626,063.19 = 177,300.46/x
  3. Step 3: Cross multiply
    417,224.08x = 626,063.19 × 177,300.46
  4. Step 4: Simplify right side
    417,224.08x = 111,001,291,576.07
  5. Step 5: Solve for x
    x = 111,001,291,576.07/417,224.08
  6. Step 6: Final answer
    x = 266,047.18

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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.