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Finding the Fourth Proportional to 310,574.25, 465,883.64 and 82,868.67

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Solution

The fourth proportional to 310,574.25, 465,883.64 and 82,868.67 is: 124,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,574.25 : 465,883.64 = 82,868.67 : x
  2. Step 2: Convert to fraction form
    310,574.25/465,883.64 = 82,868.67/x
  3. Step 3: Cross multiply
    310,574.25x = 465,883.64 × 82,868.67
  4. Step 4: Simplify right side
    310,574.25x = 38,607,157,207.22
  5. Step 5: Solve for x
    x = 38,607,157,207.22/310,574.25
  6. Step 6: Final answer
    x = 124,308.94

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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.