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Finding the Fourth Proportional to 490,077.80, 735,116.70 and 209,623.40

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Solution

The fourth proportional to 490,077.80, 735,116.70 and 209,623.40 is: 314,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,077.80 : 735,116.70 = 209,623.40 : x
  2. Step 2: Convert to fraction form
    490,077.80/735,116.70 = 209,623.40/x
  3. Step 3: Cross multiply
    490,077.80x = 735,116.70 × 209,623.40
  4. Step 4: Simplify right side
    490,077.80x = 154,097,662,050.78
  5. Step 5: Solve for x
    x = 154,097,662,050.78/490,077.80
  6. Step 6: Final answer
    x = 314,435.10

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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.