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Finding the Fourth Proportional to 258,970.82, 357,476.88 and 191,530.56

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Solution

The fourth proportional to 258,970.82, 357,476.88 and 191,530.56 is: 264,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,970.82 : 357,476.88 = 191,530.56 : x
  2. Step 2: Convert to fraction form
    258,970.82/357,476.88 = 191,530.56/x
  3. Step 3: Cross multiply
    258,970.82x = 357,476.88 × 191,530.56
  4. Step 4: Simplify right side
    258,970.82x = 68,467,747,013.45
  5. Step 5: Solve for x
    x = 68,467,747,013.45/258,970.82
  6. Step 6: Final answer
    x = 264,384.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.