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Finding the Fourth Proportional to 389,907, 537,765.90 and 253,983.76

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Solution

The fourth proportional to 389,907, 537,765.90 and 253,983.76 is: 350,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,907 : 537,765.90 = 253,983.76 : x
  2. Step 2: Convert to fraction form
    389,907/537,765.90 = 253,983.76/x
  3. Step 3: Cross multiply
    389,907x = 537,765.90 × 253,983.76
  4. Step 4: Simplify right side
    389,907x = 136,583,805,281.78
  5. Step 5: Solve for x
    x = 136,583,805,281.78/389,907
  6. Step 6: Final answer
    x = 350,298.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.