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Finding the Fourth Proportional to 490,062.80, 735,094.20 and 310,291.40

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Solution

The fourth proportional to 490,062.80, 735,094.20 and 310,291.40 is: 465,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,062.80 : 735,094.20 = 310,291.40 : x
  2. Step 2: Convert to fraction form
    490,062.80/735,094.20 = 310,291.40/x
  3. Step 3: Cross multiply
    490,062.80x = 735,094.20 × 310,291.40
  4. Step 4: Simplify right side
    490,062.80x = 228,093,408,449.88
  5. Step 5: Solve for x
    x = 228,093,408,449.88/490,062.80
  6. Step 6: Final answer
    x = 465,437.10

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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.