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Finding the Fourth Proportional to 433,637.31, 650,178.50 and 208,549.45

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Solution

The fourth proportional to 433,637.31, 650,178.50 and 208,549.45 is: 312,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,637.31 : 650,178.50 = 208,549.45 : x
  2. Step 2: Convert to fraction form
    433,637.31/650,178.50 = 208,549.45/x
  3. Step 3: Cross multiply
    433,637.31x = 650,178.50 × 208,549.45
  4. Step 4: Simplify right side
    433,637.31x = 135,594,368,346.80
  5. Step 5: Solve for x
    x = 135,594,368,346.80/433,637.31
  6. Step 6: Final answer
    x = 312,690.73

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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.