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Finding the Fourth Proportional to 462,357, 693,535.50 and 129,933

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Solution

The fourth proportional to 462,357, 693,535.50 and 129,933 is: 194,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,357 : 693,535.50 = 129,933 : x
  2. Step 2: Convert to fraction form
    462,357/693,535.50 = 129,933/x
  3. Step 3: Cross multiply
    462,357x = 693,535.50 × 129,933
  4. Step 4: Simplify right side
    462,357x = 90,113,148,121.50
  5. Step 5: Solve for x
    x = 90,113,148,121.50/462,357
  6. Step 6: Final answer
    x = 194,899.50

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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.