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Finding the Fourth Proportional to 552,078.84, 828,293.22 and 197,085

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Solution

The fourth proportional to 552,078.84, 828,293.22 and 197,085 is: 295,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,078.84 : 828,293.22 = 197,085 : x
  2. Step 2: Convert to fraction form
    552,078.84/828,293.22 = 197,085/x
  3. Step 3: Cross multiply
    552,078.84x = 828,293.22 × 197,085
  4. Step 4: Simplify right side
    552,078.84x = 163,244,169,263.70
  5. Step 5: Solve for x
    x = 163,244,169,263.70/552,078.84
  6. Step 6: Final answer
    x = 295,689.96

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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.