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Finding the Fourth Proportional to 502,611.42, 754,163.16 and 236,398.86

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Solution

The fourth proportional to 502,611.42, 754,163.16 and 236,398.86 is: 354,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,611.42 : 754,163.16 = 236,398.86 : x
  2. Step 2: Convert to fraction form
    502,611.42/754,163.16 = 236,398.86/x
  3. Step 3: Cross multiply
    502,611.42x = 754,163.16 × 236,398.86
  4. Step 4: Simplify right side
    502,611.42x = 178,283,311,278.00
  5. Step 5: Solve for x
    x = 178,283,311,278.00/502,611.42
  6. Step 6: Final answer
    x = 354,714.01

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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.