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Finding the Fourth Proportional to 496,460.40, 744,719.40 and 141,500.40

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Solution

The fourth proportional to 496,460.40, 744,719.40 and 141,500.40 is: 212,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,460.40 : 744,719.40 = 141,500.40 : x
  2. Step 2: Convert to fraction form
    496,460.40/744,719.40 = 141,500.40/x
  3. Step 3: Cross multiply
    496,460.40x = 744,719.40 × 141,500.40
  4. Step 4: Simplify right side
    496,460.40x = 105,378,092,987.76
  5. Step 5: Solve for x
    x = 105,378,092,987.76/496,460.40
  6. Step 6: Final answer
    x = 212,258.81

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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.