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Finding the Fourth Proportional to 909,797, 1,364,695.50 and 318,821

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Solution

The fourth proportional to 909,797, 1,364,695.50 and 318,821 is: 478,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,797 : 1,364,695.50 = 318,821 : x
  2. Step 2: Convert to fraction form
    909,797/1,364,695.50 = 318,821/x
  3. Step 3: Cross multiply
    909,797x = 1,364,695.50 × 318,821
  4. Step 4: Simplify right side
    909,797x = 435,093,584,005.50
  5. Step 5: Solve for x
    x = 435,093,584,005.50/909,797
  6. Step 6: Final answer
    x = 478,231.50

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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.