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Finding the Fourth Proportional to 353,353.44, 530,024.76 and 142,842

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Solution

The fourth proportional to 353,353.44, 530,024.76 and 142,842 is: 214,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,353.44 : 530,024.76 = 142,842 : x
  2. Step 2: Convert to fraction form
    353,353.44/530,024.76 = 142,842/x
  3. Step 3: Cross multiply
    353,353.44x = 530,024.76 × 142,842
  4. Step 4: Simplify right side
    353,353.44x = 75,709,796,767.92
  5. Step 5: Solve for x
    x = 75,709,796,767.92/353,353.44
  6. Step 6: Final answer
    x = 214,260.82

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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.