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Finding the Fourth Proportional to 265,298.88, 397,991.52 and 78,329.28

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Solution

The fourth proportional to 265,298.88, 397,991.52 and 78,329.28 is: 117,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,298.88 : 397,991.52 = 78,329.28 : x
  2. Step 2: Convert to fraction form
    265,298.88/397,991.52 = 78,329.28/x
  3. Step 3: Cross multiply
    265,298.88x = 397,991.52 × 78,329.28
  4. Step 4: Simplify right side
    265,298.88x = 31,174,389,207.71
  5. Step 5: Solve for x
    x = 31,174,389,207.71/265,298.88
  6. Step 6: Final answer
    x = 117,506.67

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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.