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Finding the Fourth Proportional to 467,006.14, 700,607.69 and 151,438.51

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Solution

The fourth proportional to 467,006.14, 700,607.69 and 151,438.51 is: 227,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,006.14 : 700,607.69 = 151,438.51 : x
  2. Step 2: Convert to fraction form
    467,006.14/700,607.69 = 151,438.51/x
  3. Step 3: Cross multiply
    467,006.14x = 700,607.69 × 151,438.51
  4. Step 4: Simplify right side
    467,006.14x = 106,098,980,407.91
  5. Step 5: Solve for x
    x = 106,098,980,407.91/467,006.14
  6. Step 6: Final answer
    x = 227,189.69

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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.