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Finding the Fourth Proportional to 491,271.22, 736,864.49 and 299,095.88

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Solution

The fourth proportional to 491,271.22, 736,864.49 and 299,095.88 is: 448,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,271.22 : 736,864.49 = 299,095.88 : x
  2. Step 2: Convert to fraction form
    491,271.22/736,864.49 = 299,095.88/x
  3. Step 3: Cross multiply
    491,271.22x = 736,864.49 × 299,095.88
  4. Step 4: Simplify right side
    491,271.22x = 220,393,133,077.30
  5. Step 5: Solve for x
    x = 220,393,133,077.30/491,271.22
  6. Step 6: Final answer
    x = 448,618.04

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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.