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Finding the Fourth Proportional to 467,021, 700,531.50 and 151,477.91

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Solution

The fourth proportional to 467,021, 700,531.50 and 151,477.91 is: 227,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,021 : 700,531.50 = 151,477.91 : x
  2. Step 2: Convert to fraction form
    467,021/700,531.50 = 151,477.91/x
  3. Step 3: Cross multiply
    467,021x = 700,531.50 × 151,477.91
  4. Step 4: Simplify right side
    467,021x = 106,115,047,509.17
  5. Step 5: Solve for x
    x = 106,115,047,509.17/467,021
  6. Step 6: Final answer
    x = 227,216.87

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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.