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Finding the Fourth Proportional to 519,116.40, 778,933.80 and 294,649.20

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Solution

The fourth proportional to 519,116.40, 778,933.80 and 294,649.20 is: 442,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,116.40 : 778,933.80 = 294,649.20 : x
  2. Step 2: Convert to fraction form
    519,116.40/778,933.80 = 294,649.20/x
  3. Step 3: Cross multiply
    519,116.40x = 778,933.80 × 294,649.20
  4. Step 4: Simplify right side
    519,116.40x = 229,512,221,022.96
  5. Step 5: Solve for x
    x = 229,512,221,022.96/519,116.40
  6. Step 6: Final answer
    x = 442,120.92

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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.