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Finding the Fourth Proportional to 490,070.80, 735,106.20 and 209,616.40

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Solution

The fourth proportional to 490,070.80, 735,106.20 and 209,616.40 is: 314,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,070.80 : 735,106.20 = 209,616.40 : x
  2. Step 2: Convert to fraction form
    490,070.80/735,106.20 = 209,616.40/x
  3. Step 3: Cross multiply
    490,070.80x = 735,106.20 × 209,616.40
  4. Step 4: Simplify right side
    490,070.80x = 154,090,315,261.68
  5. Step 5: Solve for x
    x = 154,090,315,261.68/490,070.80
  6. Step 6: Final answer
    x = 314,424.60

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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.