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Finding the Fourth Proportional to 405,710.94, 608,323.40 and 192,531.90

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Solution

The fourth proportional to 405,710.94, 608,323.40 and 192,531.90 is: 288,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,710.94 : 608,323.40 = 192,531.90 : x
  2. Step 2: Convert to fraction form
    405,710.94/608,323.40 = 192,531.90/x
  3. Step 3: Cross multiply
    405,710.94x = 608,323.40 × 192,531.90
  4. Step 4: Simplify right side
    405,710.94x = 117,121,660,016.46
  5. Step 5: Solve for x
    x = 117,121,660,016.46/405,710.94
  6. Step 6: Final answer
    x = 288,682.53

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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.