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Finding the Fourth Proportional to 296,076.70, 443,823.45 and 146,340.10

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Solution

The fourth proportional to 296,076.70, 443,823.45 and 146,340.10 is: 219,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,076.70 : 443,823.45 = 146,340.10 : x
  2. Step 2: Convert to fraction form
    296,076.70/443,823.45 = 146,340.10/x
  3. Step 3: Cross multiply
    296,076.70x = 443,823.45 × 146,340.10
  4. Step 4: Simplify right side
    296,076.70x = 64,949,168,055.35
  5. Step 5: Solve for x
    x = 64,949,168,055.35/296,076.70
  6. Step 6: Final answer
    x = 219,366.02

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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.