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Finding the Fourth Proportional to 388,564.92, 582,501.60 and 151,853.76

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Solution

The fourth proportional to 388,564.92, 582,501.60 and 151,853.76 is: 227,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,564.92 : 582,501.60 = 151,853.76 : x
  2. Step 2: Convert to fraction form
    388,564.92/582,501.60 = 151,853.76/x
  3. Step 3: Cross multiply
    388,564.92x = 582,501.60 × 151,853.76
  4. Step 4: Simplify right side
    388,564.92x = 88,455,058,166.02
  5. Step 5: Solve for x
    x = 88,455,058,166.02/388,564.92
  6. Step 6: Final answer
    x = 227,645.51

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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.