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Finding the Fourth Proportional to 601,884, 830,600.04 and 333,612

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Solution

The fourth proportional to 601,884, 830,600.04 and 333,612 is: 460,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,884 : 830,600.04 = 333,612 : x
  2. Step 2: Convert to fraction form
    601,884/830,600.04 = 333,612/x
  3. Step 3: Cross multiply
    601,884x = 830,600.04 × 333,612
  4. Step 4: Simplify right side
    601,884x = 277,098,140,544.48
  5. Step 5: Solve for x
    x = 277,098,140,544.48/601,884
  6. Step 6: Final answer
    x = 460,384.63

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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.