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Finding the Fourth Proportional to 435,814.38, 653,347.12 and 151,467.98

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Solution

The fourth proportional to 435,814.38, 653,347.12 and 151,467.98 is: 227,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,814.38 : 653,347.12 = 151,467.98 : x
  2. Step 2: Convert to fraction form
    435,814.38/653,347.12 = 151,467.98/x
  3. Step 3: Cross multiply
    435,814.38x = 653,347.12 × 151,467.98
  4. Step 4: Simplify right side
    435,814.38x = 98,961,166,555.35
  5. Step 5: Solve for x
    x = 98,961,166,555.35/435,814.38
  6. Step 6: Final answer
    x = 227,071.83

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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.