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Finding the Fourth Proportional to 423,342.42, 584,211.78 and 242,057.76

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Solution

The fourth proportional to 423,342.42, 584,211.78 and 242,057.76 is: 334,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,342.42 : 584,211.78 = 242,057.76 : x
  2. Step 2: Convert to fraction form
    423,342.42/584,211.78 = 242,057.76/x
  3. Step 3: Cross multiply
    423,342.42x = 584,211.78 × 242,057.76
  4. Step 4: Simplify right side
    423,342.42x = 141,412,994,832.41
  5. Step 5: Solve for x
    x = 141,412,994,832.41/423,342.42
  6. Step 6: Final answer
    x = 334,039.27

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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.