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Finding the Fourth Proportional to 315,950.71, 474,009.09 and 113,567.35

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Solution

The fourth proportional to 315,950.71, 474,009.09 and 113,567.35 is: 170,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,950.71 : 474,009.09 = 113,567.35 : x
  2. Step 2: Convert to fraction form
    315,950.71/474,009.09 = 113,567.35/x
  3. Step 3: Cross multiply
    315,950.71x = 474,009.09 × 113,567.35
  4. Step 4: Simplify right side
    315,950.71x = 53,831,956,227.21
  5. Step 5: Solve for x
    x = 53,831,956,227.21/315,950.71
  6. Step 6: Final answer
    x = 170,380.87

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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.