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Finding the Fourth Proportional to 497,344.84, 746,237.78 and 260,631.25

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Solution

The fourth proportional to 497,344.84, 746,237.78 and 260,631.25 is: 391,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,344.84 : 746,237.78 = 260,631.25 : x
  2. Step 2: Convert to fraction form
    497,344.84/746,237.78 = 260,631.25/x
  3. Step 3: Cross multiply
    497,344.84x = 746,237.78 × 260,631.25
  4. Step 4: Simplify right side
    497,344.84x = 194,492,885,398.63
  5. Step 5: Solve for x
    x = 194,492,885,398.63/497,344.84
  6. Step 6: Final answer
    x = 391,062.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.