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Finding the Fourth Proportional to 423,529.38, 584,468.83 and 242,241.05

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Solution

The fourth proportional to 423,529.38, 584,468.83 and 242,241.05 is: 334,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,529.38 : 584,468.83 = 242,241.05 : x
  2. Step 2: Convert to fraction form
    423,529.38/584,468.83 = 242,241.05/x
  3. Step 3: Cross multiply
    423,529.38x = 584,468.83 × 242,241.05
  4. Step 4: Simplify right side
    423,529.38x = 141,582,338,937.92
  5. Step 5: Solve for x
    x = 141,582,338,937.92/423,529.38
  6. Step 6: Final answer
    x = 334,291.66

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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.