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Finding the Fourth Proportional to 296,409.80, 444,312.30 and 146,419.40

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Solution

The fourth proportional to 296,409.80, 444,312.30 and 146,419.40 is: 219,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,409.80 : 444,312.30 = 146,419.40 : x
  2. Step 2: Convert to fraction form
    296,409.80/444,312.30 = 146,419.40/x
  3. Step 3: Cross multiply
    296,409.80x = 444,312.30 × 146,419.40
  4. Step 4: Simplify right side
    296,409.80x = 65,055,940,378.62
  5. Step 5: Solve for x
    x = 65,055,940,378.62/296,409.80
  6. Step 6: Final answer
    x = 219,479.72

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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.