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Finding the Fourth Proportional to 227,458.84, 341,483.91 and 174,905.22

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Solution

The fourth proportional to 227,458.84, 341,483.91 and 174,905.22 is: 262,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,458.84 : 341,483.91 = 174,905.22 : x
  2. Step 2: Convert to fraction form
    227,458.84/341,483.91 = 174,905.22/x
  3. Step 3: Cross multiply
    227,458.84x = 341,483.91 × 174,905.22
  4. Step 4: Simplify right side
    227,458.84x = 59,727,318,405.01
  5. Step 5: Solve for x
    x = 59,727,318,405.01/227,458.84
  6. Step 6: Final answer
    x = 262,585.17

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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.