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Finding the Fourth Proportional to 363,064.32, 543,428.32 and 194,162.08

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Solution

The fourth proportional to 363,064.32, 543,428.32 and 194,162.08 is: 290,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,064.32 : 543,428.32 = 194,162.08 : x
  2. Step 2: Convert to fraction form
    363,064.32/543,428.32 = 194,162.08/x
  3. Step 3: Cross multiply
    363,064.32x = 543,428.32 × 194,162.08
  4. Step 4: Simplify right side
    363,064.32x = 105,513,172,942.11
  5. Step 5: Solve for x
    x = 105,513,172,942.11/363,064.32
  6. Step 6: Final answer
    x = 290,618.40

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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.