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Finding the Fourth Proportional to 294,597.40, 442,068.90 and 107,627.80

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Solution

The fourth proportional to 294,597.40, 442,068.90 and 107,627.80 is: 161,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,597.40 : 442,068.90 = 107,627.80 : x
  2. Step 2: Convert to fraction form
    294,597.40/442,068.90 = 107,627.80/x
  3. Step 3: Cross multiply
    294,597.40x = 442,068.90 × 107,627.80
  4. Step 4: Simplify right side
    294,597.40x = 47,578,903,155.42
  5. Step 5: Solve for x
    x = 47,578,903,155.42/294,597.40
  6. Step 6: Final answer
    x = 161,504.83

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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.