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Finding the Fourth Proportional to 402,649.60, 603,974.40 and 165,870.40

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Solution

The fourth proportional to 402,649.60, 603,974.40 and 165,870.40 is: 248,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,649.60 : 603,974.40 = 165,870.40 : x
  2. Step 2: Convert to fraction form
    402,649.60/603,974.40 = 165,870.40/x
  3. Step 3: Cross multiply
    402,649.60x = 603,974.40 × 165,870.40
  4. Step 4: Simplify right side
    402,649.60x = 100,181,475,317.76
  5. Step 5: Solve for x
    x = 100,181,475,317.76/402,649.60
  6. Step 6: Final answer
    x = 248,805.60

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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.