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Finding the Fourth Proportional to 358,967.36, 538,459.68 and 171,773.12

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Solution

The fourth proportional to 358,967.36, 538,459.68 and 171,773.12 is: 257,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,967.36 : 538,459.68 = 171,773.12 : x
  2. Step 2: Convert to fraction form
    358,967.36/538,459.68 = 171,773.12/x
  3. Step 3: Cross multiply
    358,967.36x = 538,459.68 × 171,773.12
  4. Step 4: Simplify right side
    358,967.36x = 92,492,899,227.80
  5. Step 5: Solve for x
    x = 92,492,899,227.80/358,967.36
  6. Step 6: Final answer
    x = 257,663.81

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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.