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Finding the Fourth Proportional to 792,480, 1,188,715.90 and 193,444.30

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Solution

The fourth proportional to 792,480, 1,188,715.90 and 193,444.30 is: 290,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,480 : 1,188,715.90 = 193,444.30 : x
  2. Step 2: Convert to fraction form
    792,480/1,188,715.90 = 193,444.30/x
  3. Step 3: Cross multiply
    792,480x = 1,188,715.90 × 193,444.30
  4. Step 4: Simplify right side
    792,480x = 229,950,308,263.57
  5. Step 5: Solve for x
    x = 229,950,308,263.57/792,480
  6. Step 6: Final answer
    x = 290,165.44

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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.