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Finding the Fourth Proportional to 590,345.14, 885,429.42 and 163,836

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Solution

The fourth proportional to 590,345.14, 885,429.42 and 163,836 is: 245,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,345.14 : 885,429.42 = 163,836 : x
  2. Step 2: Convert to fraction form
    590,345.14/885,429.42 = 163,836/x
  3. Step 3: Cross multiply
    590,345.14x = 885,429.42 × 163,836
  4. Step 4: Simplify right side
    590,345.14x = 145,065,214,455.12
  5. Step 5: Solve for x
    x = 145,065,214,455.12/590,345.14
  6. Step 6: Final answer
    x = 245,729.50

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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.