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Finding the Fourth Proportional to 488,745.80, 733,774.80 and 312,036.20

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Solution

The fourth proportional to 488,745.80, 733,774.80 and 312,036.20 is: 468,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,745.80 : 733,774.80 = 312,036.20 : x
  2. Step 2: Convert to fraction form
    488,745.80/733,774.80 = 312,036.20/x
  3. Step 3: Cross multiply
    488,745.80x = 733,774.80 × 312,036.20
  4. Step 4: Simplify right side
    488,745.80x = 228,964,300,247.76
  5. Step 5: Solve for x
    x = 228,964,300,247.76/488,745.80
  6. Step 6: Final answer
    x = 468,473.18

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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.