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Finding the Fourth Proportional to 353,406.40, 487,689.72 and 192,257.28

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Solution

The fourth proportional to 353,406.40, 487,689.72 and 192,257.28 is: 265,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,406.40 : 487,689.72 = 192,257.28 : x
  2. Step 2: Convert to fraction form
    353,406.40/487,689.72 = 192,257.28/x
  3. Step 3: Cross multiply
    353,406.40x = 487,689.72 × 192,257.28
  4. Step 4: Simplify right side
    353,406.40x = 93,761,899,051.16
  5. Step 5: Solve for x
    x = 93,761,899,051.16/353,406.40
  6. Step 6: Final answer
    x = 265,309.00

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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.