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Finding the Fourth Proportional to 385,234.40, 538,278.40 and 385,234.40

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Solution

The fourth proportional to 385,234.40, 538,278.40 and 385,234.40 is: 538,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,234.40 : 538,278.40 = 385,234.40 : x
  2. Step 2: Convert to fraction form
    385,234.40/538,278.40 = 385,234.40/x
  3. Step 3: Cross multiply
    385,234.40x = 538,278.40 × 385,234.40
  4. Step 4: Simplify right side
    385,234.40x = 207,363,356,456.96
  5. Step 5: Solve for x
    x = 207,363,356,456.96/385,234.40
  6. Step 6: Final answer
    x = 538,278.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.