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Finding the Fourth Proportional to 523,883.24, 785,819.10 and 313,579.88

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Solution

The fourth proportional to 523,883.24, 785,819.10 and 313,579.88 is: 470,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,883.24 : 785,819.10 = 313,579.88 : x
  2. Step 2: Convert to fraction form
    523,883.24/785,819.10 = 313,579.88/x
  3. Step 3: Cross multiply
    523,883.24x = 785,819.10 × 313,579.88
  4. Step 4: Simplify right side
    523,883.24x = 246,417,059,079.71
  5. Step 5: Solve for x
    x = 246,417,059,079.71/523,883.24
  6. Step 6: Final answer
    x = 470,366.37

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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.