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Finding the Fourth Proportional to 301,478.82, 452,227.86 and 151,637.28

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Solution

The fourth proportional to 301,478.82, 452,227.86 and 151,637.28 is: 227,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,478.82 : 452,227.86 = 151,637.28 : x
  2. Step 2: Convert to fraction form
    301,478.82/452,227.86 = 151,637.28/x
  3. Step 3: Cross multiply
    301,478.82x = 452,227.86 × 151,637.28
  4. Step 4: Simplify right side
    301,478.82x = 68,574,602,630.62
  5. Step 5: Solve for x
    x = 68,574,602,630.62/301,478.82
  6. Step 6: Final answer
    x = 227,460.76

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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.