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Finding the Fourth Proportional to 295,286.40, 442,715.04 and 117,740.16

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Solution

The fourth proportional to 295,286.40, 442,715.04 and 117,740.16 is: 176,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,286.40 : 442,715.04 = 117,740.16 : x
  2. Step 2: Convert to fraction form
    295,286.40/442,715.04 = 117,740.16/x
  3. Step 3: Cross multiply
    295,286.40x = 442,715.04 × 117,740.16
  4. Step 4: Simplify right side
    295,286.40x = 52,125,339,644.01
  5. Step 5: Solve for x
    x = 52,125,339,644.01/295,286.40
  6. Step 6: Final answer
    x = 176,524.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.