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Finding the Fourth Proportional to 423,306.70, 584,144.57 and 242,030.50

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Solution

The fourth proportional to 423,306.70, 584,144.57 and 242,030.50 is: 333,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,306.70 : 584,144.57 = 242,030.50 : x
  2. Step 2: Convert to fraction form
    423,306.70/584,144.57 = 242,030.50/x
  3. Step 3: Cross multiply
    423,306.70x = 584,144.57 × 242,030.50
  4. Step 4: Simplify right side
    423,306.70x = 141,380,801,494.10
  5. Step 5: Solve for x
    x = 141,380,801,494.10/423,306.70
  6. Step 6: Final answer
    x = 333,991.41

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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.