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Finding the Fourth Proportional to 476,003.40, 714,005.10 and 209,626.80

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Solution

The fourth proportional to 476,003.40, 714,005.10 and 209,626.80 is: 314,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,003.40 : 714,005.10 = 209,626.80 : x
  2. Step 2: Convert to fraction form
    476,003.40/714,005.10 = 209,626.80/x
  3. Step 3: Cross multiply
    476,003.40x = 714,005.10 × 209,626.80
  4. Step 4: Simplify right side
    476,003.40x = 149,674,604,296.68
  5. Step 5: Solve for x
    x = 149,674,604,296.68/476,003.40
  6. Step 6: Final answer
    x = 314,440.20

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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.