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Finding the Fourth Proportional to 402,298.40, 603,787.80 and 165,810.80

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Solution

The fourth proportional to 402,298.40, 603,787.80 and 165,810.80 is: 248,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,298.40 : 603,787.80 = 165,810.80 : x
  2. Step 2: Convert to fraction form
    402,298.40/603,787.80 = 165,810.80/x
  3. Step 3: Cross multiply
    402,298.40x = 603,787.80 × 165,810.80
  4. Step 4: Simplify right side
    402,298.40x = 100,114,538,148.24
  5. Step 5: Solve for x
    x = 100,114,538,148.24/402,298.40
  6. Step 6: Final answer
    x = 248,856.42

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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.