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Finding the Fourth Proportional to 364,570.70, 546,856.05 and 204,482.30

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Solution

The fourth proportional to 364,570.70, 546,856.05 and 204,482.30 is: 306,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,570.70 : 546,856.05 = 204,482.30 : x
  2. Step 2: Convert to fraction form
    364,570.70/546,856.05 = 204,482.30/x
  3. Step 3: Cross multiply
    364,570.70x = 546,856.05 × 204,482.30
  4. Step 4: Simplify right side
    364,570.70x = 111,822,382,872.92
  5. Step 5: Solve for x
    x = 111,822,382,872.92/364,570.70
  6. Step 6: Final answer
    x = 306,723.45

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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.