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Finding the Fourth Proportional to 459,714.38, 634,002.01 and 321,822.66

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Solution

The fourth proportional to 459,714.38, 634,002.01 and 321,822.66 is: 443,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,714.38 : 634,002.01 = 321,822.66 : x
  2. Step 2: Convert to fraction form
    459,714.38/634,002.01 = 321,822.66/x
  3. Step 3: Cross multiply
    459,714.38x = 634,002.01 × 321,822.66
  4. Step 4: Simplify right side
    459,714.38x = 204,036,213,303.55
  5. Step 5: Solve for x
    x = 204,036,213,303.55/459,714.38
  6. Step 6: Final answer
    x = 443,832.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.