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Finding the Fourth Proportional to 301,229.40, 452,023.30 and 114,259.80

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Solution

The fourth proportional to 301,229.40, 452,023.30 and 114,259.80 is: 171,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,229.40 : 452,023.30 = 114,259.80 : x
  2. Step 2: Convert to fraction form
    301,229.40/452,023.30 = 114,259.80/x
  3. Step 3: Cross multiply
    301,229.40x = 452,023.30 × 114,259.80
  4. Step 4: Simplify right side
    301,229.40x = 51,648,091,853.34
  5. Step 5: Solve for x
    x = 51,648,091,853.34/301,229.40
  6. Step 6: Final answer
    x = 171,457.67

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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.