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Finding the Fourth Proportional to 465,198.90, 698,454.45 and 288,051.90

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Solution

The fourth proportional to 465,198.90, 698,454.45 and 288,051.90 is: 432,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,198.90 : 698,454.45 = 288,051.90 : x
  2. Step 2: Convert to fraction form
    465,198.90/698,454.45 = 288,051.90/x
  3. Step 3: Cross multiply
    465,198.90x = 698,454.45 × 288,051.90
  4. Step 4: Simplify right side
    465,198.90x = 201,191,131,385.96
  5. Step 5: Solve for x
    x = 201,191,131,385.96/465,198.90
  6. Step 6: Final answer
    x = 432,484.11

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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.