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Finding the Fourth Proportional to 264,417.04, 396,625.52 and 77,428.48

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Solution

The fourth proportional to 264,417.04, 396,625.52 and 77,428.48 is: 116,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,417.04 : 396,625.52 = 77,428.48 : x
  2. Step 2: Convert to fraction form
    264,417.04/396,625.52 = 77,428.48/x
  3. Step 3: Cross multiply
    264,417.04x = 396,625.52 × 77,428.48
  4. Step 4: Simplify right side
    264,417.04x = 30,710,111,142.81
  5. Step 5: Solve for x
    x = 30,710,111,142.81/264,417.04
  6. Step 6: Final answer
    x = 116,142.71

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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.