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Finding the Fourth Proportional to 465,800.40, 698,438.13 and 162,055.26

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Solution

The fourth proportional to 465,800.40, 698,438.13 and 162,055.26 is: 242,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,800.40 : 698,438.13 = 162,055.26 : x
  2. Step 2: Convert to fraction form
    465,800.40/698,438.13 = 162,055.26/x
  3. Step 3: Cross multiply
    465,800.40x = 698,438.13 × 162,055.26
  4. Step 4: Simplify right side
    465,800.40x = 113,185,572,751.06
  5. Step 5: Solve for x
    x = 113,185,572,751.06/465,800.40
  6. Step 6: Final answer
    x = 242,991.57

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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.