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Finding the Fourth Proportional to 828,255, 1,242,410.06 and 229,165.96

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Solution

The fourth proportional to 828,255, 1,242,410.06 and 229,165.96 is: 343,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,255 : 1,242,410.06 = 229,165.96 : x
  2. Step 2: Convert to fraction form
    828,255/1,242,410.06 = 229,165.96/x
  3. Step 3: Cross multiply
    828,255x = 1,242,410.06 × 229,165.96
  4. Step 4: Simplify right side
    828,255x = 284,718,094,113.56
  5. Step 5: Solve for x
    x = 284,718,094,113.56/828,255
  6. Step 6: Final answer
    x = 343,756.57

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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.