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Finding the Fourth Proportional to 432,780.84, 597,226.50 and 241,795.44

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Solution

The fourth proportional to 432,780.84, 597,226.50 and 241,795.44 is: 333,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,780.84 : 597,226.50 = 241,795.44 : x
  2. Step 2: Convert to fraction form
    432,780.84/597,226.50 = 241,795.44/x
  3. Step 3: Cross multiply
    432,780.84x = 597,226.50 × 241,795.44
  4. Step 4: Simplify right side
    432,780.84x = 144,406,644,347.16
  5. Step 5: Solve for x
    x = 144,406,644,347.16/432,780.84
  6. Step 6: Final answer
    x = 333,671.53

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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.