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Finding the Fourth Proportional to 423,426.48, 584,322.84 and 242,167.92

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Solution

The fourth proportional to 423,426.48, 584,322.84 and 242,167.92 is: 334,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,426.48 : 584,322.84 = 242,167.92 : x
  2. Step 2: Convert to fraction form
    423,426.48/584,322.84 = 242,167.92/x
  3. Step 3: Cross multiply
    423,426.48x = 584,322.84 × 242,167.92
  4. Step 4: Simplify right side
    423,426.48x = 141,504,246,771.29
  5. Step 5: Solve for x
    x = 141,504,246,771.29/423,426.48
  6. Step 6: Final answer
    x = 334,188.47

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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.