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Finding the Fourth Proportional to 599,417, 899,125.50 and 156,185

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Solution

The fourth proportional to 599,417, 899,125.50 and 156,185 is: 234,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,417 : 899,125.50 = 156,185 : x
  2. Step 2: Convert to fraction form
    599,417/899,125.50 = 156,185/x
  3. Step 3: Cross multiply
    599,417x = 899,125.50 × 156,185
  4. Step 4: Simplify right side
    599,417x = 140,429,916,217.50
  5. Step 5: Solve for x
    x = 140,429,916,217.50/599,417
  6. Step 6: Final answer
    x = 234,277.50

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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.