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Finding the Fourth Proportional to 312,899.54, 469,394.06 and 96,774.93

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Solution

The fourth proportional to 312,899.54, 469,394.06 and 96,774.93 is: 145,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,899.54 : 469,394.06 = 96,774.93 : x
  2. Step 2: Convert to fraction form
    312,899.54/469,394.06 = 96,774.93/x
  3. Step 3: Cross multiply
    312,899.54x = 469,394.06 × 96,774.93
  4. Step 4: Simplify right side
    312,899.54x = 45,425,576,815.04
  5. Step 5: Solve for x
    x = 45,425,576,815.04/312,899.54
  6. Step 6: Final answer
    x = 145,176.24

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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.