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Finding the Fourth Proportional to 476,004.40, 714,006.60 and 209,627.80

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Solution

The fourth proportional to 476,004.40, 714,006.60 and 209,627.80 is: 314,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,004.40 : 714,006.60 = 209,627.80 : x
  2. Step 2: Convert to fraction form
    476,004.40/714,006.60 = 209,627.80/x
  3. Step 3: Cross multiply
    476,004.40x = 714,006.60 × 209,627.80
  4. Step 4: Simplify right side
    476,004.40x = 149,675,632,743.48
  5. Step 5: Solve for x
    x = 149,675,632,743.48/476,004.40
  6. Step 6: Final answer
    x = 314,441.70

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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.