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Finding the Fourth Proportional to 410,588.13, 566,299.40 and 353,323.93

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Solution

The fourth proportional to 410,588.13, 566,299.40 and 353,323.93 is: 487,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,588.13 : 566,299.40 = 353,323.93 : x
  2. Step 2: Convert to fraction form
    410,588.13/566,299.40 = 353,323.93/x
  3. Step 3: Cross multiply
    410,588.13x = 566,299.40 × 353,323.93
  4. Step 4: Simplify right side
    410,588.13x = 200,087,126,382.27
  5. Step 5: Solve for x
    x = 200,087,126,382.27/410,588.13
  6. Step 6: Final answer
    x = 487,318.34

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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.