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Finding the Fourth Proportional to 462,363, 693,544.50 and 129,939

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Solution

The fourth proportional to 462,363, 693,544.50 and 129,939 is: 194,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,363 : 693,544.50 = 129,939 : x
  2. Step 2: Convert to fraction form
    462,363/693,544.50 = 129,939/x
  3. Step 3: Cross multiply
    462,363x = 693,544.50 × 129,939
  4. Step 4: Simplify right side
    462,363x = 90,118,478,785.50
  5. Step 5: Solve for x
    x = 90,118,478,785.50/462,363
  6. Step 6: Final answer
    x = 194,908.50

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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.