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Finding the Fourth Proportional to 312,492.98, 468,761.54 and 154,679.06

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Solution

The fourth proportional to 312,492.98, 468,761.54 and 154,679.06 is: 232,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,492.98 : 468,761.54 = 154,679.06 : x
  2. Step 2: Convert to fraction form
    312,492.98/468,761.54 = 154,679.06/x
  3. Step 3: Cross multiply
    312,492.98x = 468,761.54 × 154,679.06
  4. Step 4: Simplify right side
    312,492.98x = 72,507,594,371.35
  5. Step 5: Solve for x
    x = 72,507,594,371.35/312,492.98
  6. Step 6: Final answer
    x = 232,029.51

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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.