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Finding the Fourth Proportional to 294,712.60, 441,777.30 and 144,830.20

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Solution

The fourth proportional to 294,712.60, 441,777.30 and 144,830.20 is: 217,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,712.60 : 441,777.30 = 144,830.20 : x
  2. Step 2: Convert to fraction form
    294,712.60/441,777.30 = 144,830.20/x
  3. Step 3: Cross multiply
    294,712.60x = 441,777.30 × 144,830.20
  4. Step 4: Simplify right side
    294,712.60x = 63,982,694,714.46
  5. Step 5: Solve for x
    x = 63,982,694,714.46/294,712.60
  6. Step 6: Final answer
    x = 217,102.00

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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.