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Finding the Fourth Proportional to 433,749.80, 650,106.30 and 223,279.40

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Solution

The fourth proportional to 433,749.80, 650,106.30 and 223,279.40 is: 334,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,749.80 : 650,106.30 = 223,279.40 : x
  2. Step 2: Convert to fraction form
    433,749.80/650,106.30 = 223,279.40/x
  3. Step 3: Cross multiply
    433,749.80x = 650,106.30 × 223,279.40
  4. Step 4: Simplify right side
    433,749.80x = 145,155,344,600.22
  5. Step 5: Solve for x
    x = 145,155,344,600.22/433,749.80
  6. Step 6: Final answer
    x = 334,652.25

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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.