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Finding the Fourth Proportional to 431,853.84, 596,202.30 and 286,908.42

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Solution

The fourth proportional to 431,853.84, 596,202.30 and 286,908.42 is: 396,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,853.84 : 596,202.30 = 286,908.42 : x
  2. Step 2: Convert to fraction form
    431,853.84/596,202.30 = 286,908.42/x
  3. Step 3: Cross multiply
    431,853.84x = 596,202.30 × 286,908.42
  4. Step 4: Simplify right side
    431,853.84x = 171,055,459,893.37
  5. Step 5: Solve for x
    x = 171,055,459,893.37/431,853.84
  6. Step 6: Final answer
    x = 396,095.73

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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.