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Finding the Fourth Proportional to 551,846, 827,076.48 and 235,931.60

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Solution

The fourth proportional to 551,846, 827,076.48 and 235,931.60 is: 353,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,846 : 827,076.48 = 235,931.60 : x
  2. Step 2: Convert to fraction form
    551,846/827,076.48 = 235,931.60/x
  3. Step 3: Cross multiply
    551,846x = 827,076.48 × 235,931.60
  4. Step 4: Simplify right side
    551,846x = 195,133,477,248.77
  5. Step 5: Solve for x
    x = 195,133,477,248.77/551,846
  6. Step 6: Final answer
    x = 353,601.33

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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.