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Finding the Fourth Proportional to 464,424.46, 696,705.94 and 164,879.95

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Solution

The fourth proportional to 464,424.46, 696,705.94 and 164,879.95 is: 247,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,424.46 : 696,705.94 = 164,879.95 : x
  2. Step 2: Convert to fraction form
    464,424.46/696,705.94 = 164,879.95/x
  3. Step 3: Cross multiply
    464,424.46x = 696,705.94 × 164,879.95
  4. Step 4: Simplify right side
    464,424.46x = 114,872,840,551.90
  5. Step 5: Solve for x
    x = 114,872,840,551.90/464,424.46
  6. Step 6: Final answer
    x = 247,344.51

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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.