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Finding the Fourth Proportional to 590,230, 885,348.24 and 146,998

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Solution

The fourth proportional to 590,230, 885,348.24 and 146,998 is: 220,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,230 : 885,348.24 = 146,998 : x
  2. Step 2: Convert to fraction form
    590,230/885,348.24 = 146,998/x
  3. Step 3: Cross multiply
    590,230x = 885,348.24 × 146,998
  4. Step 4: Simplify right side
    590,230x = 130,144,420,583.52
  5. Step 5: Solve for x
    x = 130,144,420,583.52/590,230
  6. Step 6: Final answer
    x = 220,497.81

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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.