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Finding the Fourth Proportional to 362,808.74, 500,663.30 and 199,464.06

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Solution

The fourth proportional to 362,808.74, 500,663.30 and 199,464.06 is: 275,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,808.74 : 500,663.30 = 199,464.06 : x
  2. Step 2: Convert to fraction form
    362,808.74/500,663.30 = 199,464.06/x
  3. Step 3: Cross multiply
    362,808.74x = 500,663.30 × 199,464.06
  4. Step 4: Simplify right side
    362,808.74x = 99,864,335,391.17
  5. Step 5: Solve for x
    x = 99,864,335,391.17/362,808.74
  6. Step 6: Final answer
    x = 275,253.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.