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Finding the Fourth Proportional to 552,077.84, 828,291.72 and 197,084

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Solution

The fourth proportional to 552,077.84, 828,291.72 and 197,084 is: 295,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,077.84 : 828,291.72 = 197,084 : x
  2. Step 2: Convert to fraction form
    552,077.84/828,291.72 = 197,084/x
  3. Step 3: Cross multiply
    552,077.84x = 828,291.72 × 197,084
  4. Step 4: Simplify right side
    552,077.84x = 163,243,045,344.48
  5. Step 5: Solve for x
    x = 163,243,045,344.48/552,077.84
  6. Step 6: Final answer
    x = 295,688.46

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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.