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Finding the Fourth Proportional to 401,821.60, 601,695.60 and 318,877.60

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Solution

The fourth proportional to 401,821.60, 601,695.60 and 318,877.60 is: 477,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,821.60 : 601,695.60 = 318,877.60 : x
  2. Step 2: Convert to fraction form
    401,821.60/601,695.60 = 318,877.60/x
  3. Step 3: Cross multiply
    401,821.60x = 601,695.60 × 318,877.60
  4. Step 4: Simplify right side
    401,821.60x = 191,867,248,858.56
  5. Step 5: Solve for x
    x = 191,867,248,858.56/401,821.60
  6. Step 6: Final answer
    x = 477,493.62

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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.