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Finding the Fourth Proportional to 552,776.16, 829,319.76 and 197,840.64

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Solution

The fourth proportional to 552,776.16, 829,319.76 and 197,840.64 is: 296,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,776.16 : 829,319.76 = 197,840.64 : x
  2. Step 2: Convert to fraction form
    552,776.16/829,319.76 = 197,840.64/x
  3. Step 3: Cross multiply
    552,776.16x = 829,319.76 × 197,840.64
  4. Step 4: Simplify right side
    552,776.16x = 164,073,152,083.05
  5. Step 5: Solve for x
    x = 164,073,152,083.05/552,776.16
  6. Step 6: Final answer
    x = 296,816.62

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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.