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Finding the Fourth Proportional to 590,226, 885,342.24 and 146,994

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Solution

The fourth proportional to 590,226, 885,342.24 and 146,994 is: 220,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,226 : 885,342.24 = 146,994 : x
  2. Step 2: Convert to fraction form
    590,226/885,342.24 = 146,994/x
  3. Step 3: Cross multiply
    590,226x = 885,342.24 × 146,994
  4. Step 4: Simplify right side
    590,226x = 130,139,997,226.56
  5. Step 5: Solve for x
    x = 130,139,997,226.56/590,226
  6. Step 6: Final answer
    x = 220,491.81

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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.