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Finding the Fourth Proportional to 407,863.47, 563,003.16 and 350,271.52

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Solution

The fourth proportional to 407,863.47, 563,003.16 and 350,271.52 is: 483,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,863.47 : 563,003.16 = 350,271.52 : x
  2. Step 2: Convert to fraction form
    407,863.47/563,003.16 = 350,271.52/x
  3. Step 3: Cross multiply
    407,863.47x = 563,003.16 × 350,271.52
  4. Step 4: Simplify right side
    407,863.47x = 197,203,972,618.00
  5. Step 5: Solve for x
    x = 197,203,972,618.00/407,863.47
  6. Step 6: Final answer
    x = 483,504.87

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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.