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Finding the Fourth Proportional to 633,569.94, 950,358.05 and 160,255.76

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Solution

The fourth proportional to 633,569.94, 950,358.05 and 160,255.76 is: 240,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,569.94 : 950,358.05 = 160,255.76 : x
  2. Step 2: Convert to fraction form
    633,569.94/950,358.05 = 160,255.76/x
  3. Step 3: Cross multiply
    633,569.94x = 950,358.05 × 160,255.76
  4. Step 4: Simplify right side
    633,569.94x = 152,300,346,021.80
  5. Step 5: Solve for x
    x = 152,300,346,021.80/633,569.94
  6. Step 6: Final answer
    x = 240,384.43

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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.