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Finding the Fourth Proportional to 232,809.91, 349,159.46 and 64,326.54

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Solution

The fourth proportional to 232,809.91, 349,159.46 and 64,326.54 is: 96,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,809.91 : 349,159.46 = 64,326.54 : x
  2. Step 2: Convert to fraction form
    232,809.91/349,159.46 = 64,326.54/x
  3. Step 3: Cross multiply
    232,809.91x = 349,159.46 × 64,326.54
  4. Step 4: Simplify right side
    232,809.91x = 22,460,219,970.07
  5. Step 5: Solve for x
    x = 22,460,219,970.07/232,809.91
  6. Step 6: Final answer
    x = 96,474.50

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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.