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Finding the Fourth Proportional to 264,466.64, 396,699.95 and 77,478.14

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Solution

The fourth proportional to 264,466.64, 396,699.95 and 77,478.14 is: 116,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,466.64 : 396,699.95 = 77,478.14 : x
  2. Step 2: Convert to fraction form
    264,466.64/396,699.95 = 77,478.14/x
  3. Step 3: Cross multiply
    264,466.64x = 396,699.95 × 77,478.14
  4. Step 4: Simplify right side
    264,466.64x = 30,735,572,474.29
  5. Step 5: Solve for x
    x = 30,735,572,474.29/264,466.64
  6. Step 6: Final answer
    x = 116,217.20

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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.