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Finding the Fourth Proportional to 466,102.44, 643,225.86 and 264,899.88

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Solution

The fourth proportional to 466,102.44, 643,225.86 and 264,899.88 is: 365,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,102.44 : 643,225.86 = 264,899.88 : x
  2. Step 2: Convert to fraction form
    466,102.44/643,225.86 = 264,899.88/x
  3. Step 3: Cross multiply
    466,102.44x = 643,225.86 × 264,899.88
  4. Step 4: Simplify right side
    466,102.44x = 170,390,453,126.90
  5. Step 5: Solve for x
    x = 170,390,453,126.90/466,102.44
  6. Step 6: Final answer
    x = 365,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.