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Finding the Fourth Proportional to 465,930.90, 699,552.45 and 288,783.90

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Solution

The fourth proportional to 465,930.90, 699,552.45 and 288,783.90 is: 433,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,930.90 : 699,552.45 = 288,783.90 : x
  2. Step 2: Convert to fraction form
    465,930.90/699,552.45 = 288,783.90/x
  3. Step 3: Cross multiply
    465,930.90x = 699,552.45 × 288,783.90
  4. Step 4: Simplify right side
    465,930.90x = 202,019,484,765.56
  5. Step 5: Solve for x
    x = 202,019,484,765.56/465,930.90
  6. Step 6: Final answer
    x = 433,582.50

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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.