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Finding the Fourth Proportional to 490,468.80, 735,703.20 and 210,014.40

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Solution

The fourth proportional to 490,468.80, 735,703.20 and 210,014.40 is: 315,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,468.80 : 735,703.20 = 210,014.40 : x
  2. Step 2: Convert to fraction form
    490,468.80/735,703.20 = 210,014.40/x
  3. Step 3: Cross multiply
    490,468.80x = 735,703.20 × 210,014.40
  4. Step 4: Simplify right side
    490,468.80x = 154,508,266,126.08
  5. Step 5: Solve for x
    x = 154,508,266,126.08/490,468.80
  6. Step 6: Final answer
    x = 315,021.60

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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.