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Finding the Fourth Proportional to 417,833.98, 626,749.32 and 151,594.30

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Solution

The fourth proportional to 417,833.98, 626,749.32 and 151,594.30 is: 227,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,833.98 : 626,749.32 = 151,594.30 : x
  2. Step 2: Convert to fraction form
    417,833.98/626,749.32 = 151,594.30/x
  3. Step 3: Cross multiply
    417,833.98x = 626,749.32 × 151,594.30
  4. Step 4: Simplify right side
    417,833.98x = 95,011,624,440.88
  5. Step 5: Solve for x
    x = 95,011,624,440.88/417,833.98
  6. Step 6: Final answer
    x = 227,390.85

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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.