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Finding the Fourth Proportional to 590,046.09, 814,392.54 and 375,144.18

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Solution

The fourth proportional to 590,046.09, 814,392.54 and 375,144.18 is: 517,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,046.09 : 814,392.54 = 375,144.18 : x
  2. Step 2: Convert to fraction form
    590,046.09/814,392.54 = 375,144.18/x
  3. Step 3: Cross multiply
    590,046.09x = 814,392.54 × 375,144.18
  4. Step 4: Simplify right side
    590,046.09x = 305,514,621,616.42
  5. Step 5: Solve for x
    x = 305,514,621,616.42/590,046.09
  6. Step 6: Final answer
    x = 517,780.94

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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.