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Finding the Fourth Proportional to 467,005.64, 700,606.94 and 151,438.01

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Solution

The fourth proportional to 467,005.64, 700,606.94 and 151,438.01 is: 227,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,005.64 : 700,606.94 = 151,438.01 : x
  2. Step 2: Convert to fraction form
    467,005.64/700,606.94 = 151,438.01/x
  3. Step 3: Cross multiply
    467,005.64x = 700,606.94 × 151,438.01
  4. Step 4: Simplify right side
    467,005.64x = 106,098,516,525.57
  5. Step 5: Solve for x
    x = 106,098,516,525.57/467,005.64
  6. Step 6: Final answer
    x = 227,188.94

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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.