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Finding the Fourth Proportional to 412,016.13, 617,927.40 and 232,179.93

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Solution

The fourth proportional to 412,016.13, 617,927.40 and 232,179.93 is: 348,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,016.13 : 617,927.40 = 232,179.93 : x
  2. Step 2: Convert to fraction form
    412,016.13/617,927.40 = 232,179.93/x
  3. Step 3: Cross multiply
    412,016.13x = 617,927.40 × 232,179.93
  4. Step 4: Simplify right side
    412,016.13x = 143,470,340,477.08
  5. Step 5: Solve for x
    x = 143,470,340,477.08/412,016.13
  6. Step 6: Final answer
    x = 348,215.35

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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.