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Finding the Fourth Proportional to 417,784.52, 626,616.66 and 133,507.46

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Solution

The fourth proportional to 417,784.52, 626,616.66 and 133,507.46 is: 200,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,784.52 : 626,616.66 = 133,507.46 : x
  2. Step 2: Convert to fraction form
    417,784.52/626,616.66 = 133,507.46/x
  3. Step 3: Cross multiply
    417,784.52x = 626,616.66 × 133,507.46
  4. Step 4: Simplify right side
    417,784.52x = 83,657,998,670.28
  5. Step 5: Solve for x
    x = 83,657,998,670.28/417,784.52
  6. Step 6: Final answer
    x = 200,241.98

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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.