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Finding the Fourth Proportional to 233,486.30, 349,711.05 and 202,382.30

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Solution

The fourth proportional to 233,486.30, 349,711.05 and 202,382.30 is: 303,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,486.30 : 349,711.05 = 202,382.30 : x
  2. Step 2: Convert to fraction form
    233,486.30/349,711.05 = 202,382.30/x
  3. Step 3: Cross multiply
    233,486.30x = 349,711.05 × 202,382.30
  4. Step 4: Simplify right side
    233,486.30x = 70,775,326,634.42
  5. Step 5: Solve for x
    x = 70,775,326,634.42/233,486.30
  6. Step 6: Final answer
    x = 303,124.11

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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.