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Finding the Fourth Proportional to 488,775.65, 732,580.28 and 204,465.65

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Solution

The fourth proportional to 488,775.65, 732,580.28 and 204,465.65 is: 306,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,775.65 : 732,580.28 = 204,465.65 : x
  2. Step 2: Convert to fraction form
    488,775.65/732,580.28 = 204,465.65/x
  3. Step 3: Cross multiply
    488,775.65x = 732,580.28 × 204,465.65
  4. Step 4: Simplify right side
    488,775.65x = 149,787,502,105.05
  5. Step 5: Solve for x
    x = 149,787,502,105.05/488,775.65
  6. Step 6: Final answer
    x = 306,454.51

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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.