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Finding the Fourth Proportional to 491,914.30, 736,203.50 and 302,493.66

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Solution

The fourth proportional to 491,914.30, 736,203.50 and 302,493.66 is: 452,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,914.30 : 736,203.50 = 302,493.66 : x
  2. Step 2: Convert to fraction form
    491,914.30/736,203.50 = 302,493.66/x
  3. Step 3: Cross multiply
    491,914.30x = 736,203.50 × 302,493.66
  4. Step 4: Simplify right side
    491,914.30x = 222,696,891,219.81
  5. Step 5: Solve for x
    x = 222,696,891,219.81/491,914.30
  6. Step 6: Final answer
    x = 452,714.81

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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.