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Finding the Fourth Proportional to 465,801.40, 698,439.63 and 162,056.26

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Solution

The fourth proportional to 465,801.40, 698,439.63 and 162,056.26 is: 242,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,801.40 : 698,439.63 = 162,056.26 : x
  2. Step 2: Convert to fraction form
    465,801.40/698,439.63 = 162,056.26/x
  3. Step 3: Cross multiply
    465,801.40x = 698,439.63 × 162,056.26
  4. Step 4: Simplify right side
    465,801.40x = 113,186,514,273.58
  5. Step 5: Solve for x
    x = 113,186,514,273.58/465,801.40
  6. Step 6: Final answer
    x = 242,993.07

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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.