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Finding the Fourth Proportional to 288,336.60, 432,942.30 and 221,851.80

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Solution

The fourth proportional to 288,336.60, 432,942.30 and 221,851.80 is: 333,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,336.60 : 432,942.30 = 221,851.80 : x
  2. Step 2: Convert to fraction form
    288,336.60/432,942.30 = 221,851.80/x
  3. Step 3: Cross multiply
    288,336.60x = 432,942.30 × 221,851.80
  4. Step 4: Simplify right side
    288,336.60x = 96,049,028,551.14
  5. Step 5: Solve for x
    x = 96,049,028,551.14/288,336.60
  6. Step 6: Final answer
    x = 333,114.24

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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.