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Finding the Fourth Proportional to 590,068.65, 814,293.52 and 331,945.77

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Solution

The fourth proportional to 590,068.65, 814,293.52 and 331,945.77 is: 458,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,068.65 : 814,293.52 = 331,945.77 : x
  2. Step 2: Convert to fraction form
    590,068.65/814,293.52 = 331,945.77/x
  3. Step 3: Cross multiply
    590,068.65x = 814,293.52 × 331,945.77
  4. Step 4: Simplify right side
    590,068.65x = 270,301,289,502.41
  5. Step 5: Solve for x
    x = 270,301,289,502.41/590,068.65
  6. Step 6: Final answer
    x = 458,084.48

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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.