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Finding the Fourth Proportional to 464,006.40, 696,074.40 and 197,764.80

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Solution

The fourth proportional to 464,006.40, 696,074.40 and 197,764.80 is: 296,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,006.40 : 696,074.40 = 197,764.80 : x
  2. Step 2: Convert to fraction form
    464,006.40/696,074.40 = 197,764.80/x
  3. Step 3: Cross multiply
    464,006.40x = 696,074.40 × 197,764.80
  4. Step 4: Simplify right side
    464,006.40x = 137,659,014,501.12
  5. Step 5: Solve for x
    x = 137,659,014,501.12/464,006.40
  6. Step 6: Final answer
    x = 296,674.82

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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.