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Finding the Fourth Proportional to 303,432.38, 418,500.07 and 194,547.12

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Solution

The fourth proportional to 303,432.38, 418,500.07 and 194,547.12 is: 268,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,432.38 : 418,500.07 = 194,547.12 : x
  2. Step 2: Convert to fraction form
    303,432.38/418,500.07 = 194,547.12/x
  3. Step 3: Cross multiply
    303,432.38x = 418,500.07 × 194,547.12
  4. Step 4: Simplify right side
    303,432.38x = 81,417,980,759.43
  5. Step 5: Solve for x
    x = 81,417,980,759.43/303,432.38
  6. Step 6: Final answer
    x = 268,323.31

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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.