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Finding the Fourth Proportional to 482,474.16, 724,048.20 and 198,186.48

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Solution

The fourth proportional to 482,474.16, 724,048.20 and 198,186.48 is: 297,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,474.16 : 724,048.20 = 198,186.48 : x
  2. Step 2: Convert to fraction form
    482,474.16/724,048.20 = 198,186.48/x
  3. Step 3: Cross multiply
    482,474.16x = 724,048.20 × 198,186.48
  4. Step 4: Simplify right side
    482,474.16x = 143,496,564,108.34
  5. Step 5: Solve for x
    x = 143,496,564,108.34/482,474.16
  6. Step 6: Final answer
    x = 297,418.13

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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.