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Finding the Fourth Proportional to 823,314.24, 1,234,798.56 and 232,200

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Solution

The fourth proportional to 823,314.24, 1,234,798.56 and 232,200 is: 348,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,314.24 : 1,234,798.56 = 232,200 : x
  2. Step 2: Convert to fraction form
    823,314.24/1,234,798.56 = 232,200/x
  3. Step 3: Cross multiply
    823,314.24x = 1,234,798.56 × 232,200
  4. Step 4: Simplify right side
    823,314.24x = 286,720,225,632
  5. Step 5: Solve for x
    x = 286,720,225,632/823,314.24
  6. Step 6: Final answer
    x = 348,251.27

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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.