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Finding the Fourth Proportional to 580,046.13, 870,069.26 and 180,719.10

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Solution

The fourth proportional to 580,046.13, 870,069.26 and 180,719.10 is: 271,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,046.13 : 870,069.26 = 180,719.10 : x
  2. Step 2: Convert to fraction form
    580,046.13/870,069.26 = 180,719.10/x
  3. Step 3: Cross multiply
    580,046.13x = 870,069.26 × 180,719.10
  4. Step 4: Simplify right side
    580,046.13x = 157,238,134,056.66
  5. Step 5: Solve for x
    x = 157,238,134,056.66/580,046.13
  6. Step 6: Final answer
    x = 271,078.67

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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.