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Finding the Fourth Proportional to 301,476.76, 452,224.86 and 151,635.28

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Solution

The fourth proportional to 301,476.76, 452,224.86 and 151,635.28 is: 227,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,476.76 : 452,224.86 = 151,635.28 : x
  2. Step 2: Convert to fraction form
    301,476.76/452,224.86 = 151,635.28/x
  3. Step 3: Cross multiply
    301,476.76x = 452,224.86 × 151,635.28
  4. Step 4: Simplify right side
    301,476.76x = 68,573,243,269.06
  5. Step 5: Solve for x
    x = 68,573,243,269.06/301,476.76
  6. Step 6: Final answer
    x = 227,457.81

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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.