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Finding the Fourth Proportional to 232,021.30, 349,490.08 and 211,095.76

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Solution

The fourth proportional to 232,021.30, 349,490.08 and 211,095.76 is: 317,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,021.30 : 349,490.08 = 211,095.76 : x
  2. Step 2: Convert to fraction form
    232,021.30/349,490.08 = 211,095.76/x
  3. Step 3: Cross multiply
    232,021.30x = 349,490.08 × 211,095.76
  4. Step 4: Simplify right side
    232,021.30x = 73,775,874,050.06
  5. Step 5: Solve for x
    x = 73,775,874,050.06/232,021.30
  6. Step 6: Final answer
    x = 317,970.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.