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Finding the Fourth Proportional to 476,150.74, 714,411.97 and 209,724.46

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Solution

The fourth proportional to 476,150.74, 714,411.97 and 209,724.46 is: 314,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,150.74 : 714,411.97 = 209,724.46 : x
  2. Step 2: Convert to fraction form
    476,150.74/714,411.97 = 209,724.46/x
  3. Step 3: Cross multiply
    476,150.74x = 714,411.97 × 209,724.46
  4. Step 4: Simplify right side
    476,150.74x = 149,829,662,315.45
  5. Step 5: Solve for x
    x = 149,829,662,315.45/476,150.74
  6. Step 6: Final answer
    x = 314,668.55

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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.