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Finding the Fourth Proportional to 465,368.36, 698,203.02 and 228,544.97

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Solution

The fourth proportional to 465,368.36, 698,203.02 and 228,544.97 is: 342,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,368.36 : 698,203.02 = 228,544.97 : x
  2. Step 2: Convert to fraction form
    465,368.36/698,203.02 = 228,544.97/x
  3. Step 3: Cross multiply
    465,368.36x = 698,203.02 × 228,544.97
  4. Step 4: Simplify right side
    465,368.36x = 159,570,788,259.81
  5. Step 5: Solve for x
    x = 159,570,788,259.81/465,368.36
  6. Step 6: Final answer
    x = 342,891.36

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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.