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Finding the Fourth Proportional to 314,446.23, 471,603.19 and 101,233.20

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Solution

The fourth proportional to 314,446.23, 471,603.19 and 101,233.20 is: 151,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,446.23 : 471,603.19 = 101,233.20 : x
  2. Step 2: Convert to fraction form
    314,446.23/471,603.19 = 101,233.20/x
  3. Step 3: Cross multiply
    314,446.23x = 471,603.19 × 101,233.20
  4. Step 4: Simplify right side
    314,446.23x = 47,741,900,053.91
  5. Step 5: Solve for x
    x = 47,741,900,053.91/314,446.23
  6. Step 6: Final answer
    x = 151,828.50

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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.