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Finding the Fourth Proportional to 417,630.74, 626,547.96 and 133,321.33

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Solution

The fourth proportional to 417,630.74, 626,547.96 and 133,321.33 is: 200,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,630.74 : 626,547.96 = 133,321.33 : x
  2. Step 2: Convert to fraction form
    417,630.74/626,547.96 = 133,321.33/x
  3. Step 3: Cross multiply
    417,630.74x = 626,547.96 × 133,321.33
  4. Step 4: Simplify right side
    417,630.74x = 83,532,204,594.84
  5. Step 5: Solve for x
    x = 83,532,204,594.84/417,630.74
  6. Step 6: Final answer
    x = 200,014.50

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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.