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Finding the Fourth Proportional to 422,068.32, 633,034.08 and 155,954.16

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Solution

The fourth proportional to 422,068.32, 633,034.08 and 155,954.16 is: 233,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,068.32 : 633,034.08 = 155,954.16 : x
  2. Step 2: Convert to fraction form
    422,068.32/633,034.08 = 155,954.16/x
  3. Step 3: Cross multiply
    422,068.32x = 633,034.08 × 155,954.16
  4. Step 4: Simplify right side
    422,068.32x = 98,724,298,197.77
  5. Step 5: Solve for x
    x = 98,724,298,197.77/422,068.32
  6. Step 6: Final answer
    x = 233,905.97

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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.