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Finding the Fourth Proportional to 464,111.37, 696,215.66 and 197,900.01

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Solution

The fourth proportional to 464,111.37, 696,215.66 and 197,900.01 is: 296,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,111.37 : 696,215.66 = 197,900.01 : x
  2. Step 2: Convert to fraction form
    464,111.37/696,215.66 = 197,900.01/x
  3. Step 3: Cross multiply
    464,111.37x = 696,215.66 × 197,900.01
  4. Step 4: Simplify right side
    464,111.37x = 137,781,085,086.66
  5. Step 5: Solve for x
    x = 137,781,085,086.66/464,111.37
  6. Step 6: Final answer
    x = 296,870.74

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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.