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Finding the Fourth Proportional to 295,270.40, 442,690.96 and 117,724.16

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Solution

The fourth proportional to 295,270.40, 442,690.96 and 117,724.16 is: 176,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.40 : 442,690.96 = 117,724.16 : x
  2. Step 2: Convert to fraction form
    295,270.40/442,690.96 = 117,724.16/x
  3. Step 3: Cross multiply
    295,270.40x = 442,690.96 × 117,724.16
  4. Step 4: Simplify right side
    295,270.40x = 52,115,421,405.59
  5. Step 5: Solve for x
    x = 52,115,421,405.59/295,270.40
  6. Step 6: Final answer
    x = 176,500.66

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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.