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Finding the Fourth Proportional to 596,271.68, 894,407.52 and 408,714.56

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Solution

The fourth proportional to 596,271.68, 894,407.52 and 408,714.56 is: 613,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,271.68 : 894,407.52 = 408,714.56 : x
  2. Step 2: Convert to fraction form
    596,271.68/894,407.52 = 408,714.56/x
  3. Step 3: Cross multiply
    596,271.68x = 894,407.52 × 408,714.56
  4. Step 4: Simplify right side
    596,271.68x = 365,557,375,997.49
  5. Step 5: Solve for x
    x = 365,557,375,997.49/596,271.68
  6. Step 6: Final answer
    x = 613,071.84

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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.