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Finding the Fourth Proportional to 227,459.34, 341,484.66 and 174,905.72

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Solution

The fourth proportional to 227,459.34, 341,484.66 and 174,905.72 is: 262,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,459.34 : 341,484.66 = 174,905.72 : x
  2. Step 2: Convert to fraction form
    227,459.34/341,484.66 = 174,905.72/x
  3. Step 3: Cross multiply
    227,459.34x = 341,484.66 × 174,905.72
  4. Step 4: Simplify right side
    227,459.34x = 59,727,620,326.26
  5. Step 5: Solve for x
    x = 59,727,620,326.26/227,459.34
  6. Step 6: Final answer
    x = 262,585.92

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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.