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Finding the Fourth Proportional to 786,256, 1,179,384 and 225,290.50

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Solution

The fourth proportional to 786,256, 1,179,384 and 225,290.50 is: 337,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,256 : 1,179,384 = 225,290.50 : x
  2. Step 2: Convert to fraction form
    786,256/1,179,384 = 225,290.50/x
  3. Step 3: Cross multiply
    786,256x = 1,179,384 × 225,290.50
  4. Step 4: Simplify right side
    786,256x = 265,704,011,052
  5. Step 5: Solve for x
    x = 265,704,011,052/786,256
  6. Step 6: Final answer
    x = 337,935.75

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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.