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Finding the Fourth Proportional to 314,499, 471,748.50 and 92,900.28

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Solution

The fourth proportional to 314,499, 471,748.50 and 92,900.28 is: 139,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,499 : 471,748.50 = 92,900.28 : x
  2. Step 2: Convert to fraction form
    314,499/471,748.50 = 92,900.28/x
  3. Step 3: Cross multiply
    314,499x = 471,748.50 × 92,900.28
  4. Step 4: Simplify right side
    314,499x = 43,825,567,739.58
  5. Step 5: Solve for x
    x = 43,825,567,739.58/314,499
  6. Step 6: Final answer
    x = 139,350.42

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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.