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Finding the Fourth Proportional to 408,274.40, 563,693.64 and 365,119.76

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Solution

The fourth proportional to 408,274.40, 563,693.64 and 365,119.76 is: 504,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,274.40 : 563,693.64 = 365,119.76 : x
  2. Step 2: Convert to fraction form
    408,274.40/563,693.64 = 365,119.76/x
  3. Step 3: Cross multiply
    408,274.40x = 563,693.64 × 365,119.76
  4. Step 4: Simplify right side
    408,274.40x = 205,815,686,550.33
  5. Step 5: Solve for x
    x = 205,815,686,550.33/408,274.40
  6. Step 6: Final answer
    x = 504,111.17

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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.