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Finding the Fourth Proportional to 467,478.90, 700,774.47 and 151,714.98

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Solution

The fourth proportional to 467,478.90, 700,774.47 and 151,714.98 is: 227,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,478.90 : 700,774.47 = 151,714.98 : x
  2. Step 2: Convert to fraction form
    467,478.90/700,774.47 = 151,714.98/x
  3. Step 3: Cross multiply
    467,478.90x = 700,774.47 × 151,714.98
  4. Step 4: Simplify right side
    467,478.90x = 106,317,984,700.56
  5. Step 5: Solve for x
    x = 106,317,984,700.56/467,478.90
  6. Step 6: Final answer
    x = 227,428.41

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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.