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Finding the Fourth Proportional to 386,196.94, 579,216.22 and 146,228.06

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Solution

The fourth proportional to 386,196.94, 579,216.22 and 146,228.06 is: 219,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,196.94 : 579,216.22 = 146,228.06 : x
  2. Step 2: Convert to fraction form
    386,196.94/579,216.22 = 146,228.06/x
  3. Step 3: Cross multiply
    386,196.94x = 579,216.22 × 146,228.06
  4. Step 4: Simplify right side
    386,196.94x = 84,697,664,171.13
  5. Step 5: Solve for x
    x = 84,697,664,171.13/386,196.94
  6. Step 6: Final answer
    x = 219,312.11

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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.