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Finding the Fourth Proportional to 315,954.22, 474,014.34 and 113,570.86

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Solution

The fourth proportional to 315,954.22, 474,014.34 and 113,570.86 is: 170,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,954.22 : 474,014.34 = 113,570.86 : x
  2. Step 2: Convert to fraction form
    315,954.22/474,014.34 = 113,570.86/x
  3. Step 3: Cross multiply
    315,954.22x = 474,014.34 × 113,570.86
  4. Step 4: Simplify right side
    315,954.22x = 53,834,216,246.13
  5. Step 5: Solve for x
    x = 53,834,216,246.13/315,954.22
  6. Step 6: Final answer
    x = 170,386.13

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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.