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Finding the Fourth Proportional to 423,346.44, 584,217.28 and 242,061.76

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Solution

The fourth proportional to 423,346.44, 584,217.28 and 242,061.76 is: 334,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,346.44 : 584,217.28 = 242,061.76 : x
  2. Step 2: Convert to fraction form
    423,346.44/584,217.28 = 242,061.76/x
  3. Step 3: Cross multiply
    423,346.44x = 584,217.28 × 242,061.76
  4. Step 4: Simplify right side
    423,346.44x = 141,416,663,019.21
  5. Step 5: Solve for x
    x = 141,416,663,019.21/423,346.44
  6. Step 6: Final answer
    x = 334,044.77

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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.