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Finding the Fourth Proportional to 488,574.10, 732,824.70 and 204,191.20

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Solution

The fourth proportional to 488,574.10, 732,824.70 and 204,191.20 is: 306,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,574.10 : 732,824.70 = 204,191.20 : x
  2. Step 2: Convert to fraction form
    488,574.10/732,824.70 = 204,191.20/x
  3. Step 3: Cross multiply
    488,574.10x = 732,824.70 × 204,191.20
  4. Step 4: Simplify right side
    488,574.10x = 149,636,354,882.64
  5. Step 5: Solve for x
    x = 149,636,354,882.64/488,574.10
  6. Step 6: Final answer
    x = 306,271.57

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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.