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Finding the Fourth Proportional to 590,514.36, 884,439.81 and 274,305.84

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Solution

The fourth proportional to 590,514.36, 884,439.81 and 274,305.84 is: 410,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,514.36 : 884,439.81 = 274,305.84 : x
  2. Step 2: Convert to fraction form
    590,514.36/884,439.81 = 274,305.84/x
  3. Step 3: Cross multiply
    590,514.36x = 884,439.81 × 274,305.84
  4. Step 4: Simplify right side
    590,514.36x = 242,607,005,011.49
  5. Step 5: Solve for x
    x = 242,607,005,011.49/590,514.36
  6. Step 6: Final answer
    x = 410,840.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.