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Finding the Fourth Proportional to 417,722.55, 626,628.98 and 133,313.46

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Solution

The fourth proportional to 417,722.55, 626,628.98 and 133,313.46 is: 199,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,722.55 : 626,628.98 = 133,313.46 : x
  2. Step 2: Convert to fraction form
    417,722.55/626,628.98 = 133,313.46/x
  3. Step 3: Cross multiply
    417,722.55x = 626,628.98 × 133,313.46
  4. Step 4: Simplify right side
    417,722.55x = 83,538,077,460.07
  5. Step 5: Solve for x
    x = 83,538,077,460.07/417,722.55
  6. Step 6: Final answer
    x = 199,984.60

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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.