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Finding the Fourth Proportional to 465,577.39, 698,543.41 and 162,005.28

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Solution

The fourth proportional to 465,577.39, 698,543.41 and 162,005.28 is: 243,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,577.39 : 698,543.41 = 162,005.28 : x
  2. Step 2: Convert to fraction form
    465,577.39/698,543.41 = 162,005.28/x
  3. Step 3: Cross multiply
    465,577.39x = 698,543.41 × 162,005.28
  4. Step 4: Simplify right side
    465,577.39x = 113,167,718,307.28
  5. Step 5: Solve for x
    x = 113,167,718,307.28/465,577.39
  6. Step 6: Final answer
    x = 243,069.62

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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.