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Finding the Fourth Proportional to 590,047.06, 814,393.90 and 375,145.15

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Solution

The fourth proportional to 590,047.06, 814,393.90 and 375,145.15 is: 517,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,047.06 : 814,393.90 = 375,145.15 : x
  2. Step 2: Convert to fraction form
    590,047.06/814,393.90 = 375,145.15/x
  3. Step 3: Cross multiply
    590,047.06x = 814,393.90 × 375,145.15
  4. Step 4: Simplify right side
    590,047.06x = 305,515,919,898.86
  5. Step 5: Solve for x
    x = 305,515,919,898.86/590,047.06
  6. Step 6: Final answer
    x = 517,782.29

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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.