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Finding the Fourth Proportional to 299,057.40, 448,643.70 and 151,313.40

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Solution

The fourth proportional to 299,057.40, 448,643.70 and 151,313.40 is: 226,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,057.40 : 448,643.70 = 151,313.40 : x
  2. Step 2: Convert to fraction form
    299,057.40/448,643.70 = 151,313.40/x
  3. Step 3: Cross multiply
    299,057.40x = 448,643.70 × 151,313.40
  4. Step 4: Simplify right side
    299,057.40x = 67,885,803,635.58
  5. Step 5: Solve for x
    x = 67,885,803,635.58/299,057.40
  6. Step 6: Final answer
    x = 226,999.24

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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.