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Finding the Fourth Proportional to 457,978.29, 686,969.18 and 191,551.91

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Solution

The fourth proportional to 457,978.29, 686,969.18 and 191,551.91 is: 287,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,978.29 : 686,969.18 = 191,551.91 : x
  2. Step 2: Convert to fraction form
    457,978.29/686,969.18 = 191,551.91/x
  3. Step 3: Cross multiply
    457,978.29x = 686,969.18 × 191,551.91
  4. Step 4: Simplify right side
    457,978.29x = 131,590,255,943.33
  5. Step 5: Solve for x
    x = 131,590,255,943.33/457,978.29
  6. Step 6: Final answer
    x = 287,328.59

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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.