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Finding the Fourth Proportional to 590,426.64, 814,649.67 and 437,817.78

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Solution

The fourth proportional to 590,426.64, 814,649.67 and 437,817.78 is: 604,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,426.64 : 814,649.67 = 437,817.78 : x
  2. Step 2: Convert to fraction form
    590,426.64/814,649.67 = 437,817.78/x
  3. Step 3: Cross multiply
    590,426.64x = 814,649.67 × 437,817.78
  4. Step 4: Simplify right side
    590,426.64x = 356,668,109,997.13
  5. Step 5: Solve for x
    x = 356,668,109,997.13/590,426.64
  6. Step 6: Final answer
    x = 604,085.39

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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.