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Finding the Fourth Proportional to 464,008.40, 696,077.40 and 197,766.80

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Solution

The fourth proportional to 464,008.40, 696,077.40 and 197,766.80 is: 296,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,008.40 : 696,077.40 = 197,766.80 : x
  2. Step 2: Convert to fraction form
    464,008.40/696,077.40 = 197,766.80/x
  3. Step 3: Cross multiply
    464,008.40x = 696,077.40 × 197,766.80
  4. Step 4: Simplify right side
    464,008.40x = 137,660,999,950.32
  5. Step 5: Solve for x
    x = 137,660,999,950.32/464,008.40
  6. Step 6: Final answer
    x = 296,677.82

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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.