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Finding the Fourth Proportional to 467,505.90, 700,814.94 and 151,741.98

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Solution

The fourth proportional to 467,505.90, 700,814.94 and 151,741.98 is: 227,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,505.90 : 700,814.94 = 151,741.98 : x
  2. Step 2: Convert to fraction form
    467,505.90/700,814.94 = 151,741.98/x
  3. Step 3: Cross multiply
    467,505.90x = 700,814.94 × 151,741.98
  4. Step 4: Simplify right side
    467,505.90x = 106,343,046,609.18
  5. Step 5: Solve for x
    x = 106,343,046,609.18/467,505.90
  6. Step 6: Final answer
    x = 227,468.89

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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.