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Finding the Fourth Proportional to 493,165.50, 680,529.62 and 302,152.92

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Solution

The fourth proportional to 493,165.50, 680,529.62 and 302,152.92 is: 416,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,165.50 : 680,529.62 = 302,152.92 : x
  2. Step 2: Convert to fraction form
    493,165.50/680,529.62 = 302,152.92/x
  3. Step 3: Cross multiply
    493,165.50x = 680,529.62 × 302,152.92
  4. Step 4: Simplify right side
    493,165.50x = 205,624,011,829.49
  5. Step 5: Solve for x
    x = 205,624,011,829.49/493,165.50
  6. Step 6: Final answer
    x = 416,947.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.