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Finding the Fourth Proportional to 315,574.20, 472,583.70 and 209,820.60

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Solution

The fourth proportional to 315,574.20, 472,583.70 and 209,820.60 is: 314,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,574.20 : 472,583.70 = 209,820.60 : x
  2. Step 2: Convert to fraction form
    315,574.20/472,583.70 = 209,820.60/x
  3. Step 3: Cross multiply
    315,574.20x = 472,583.70 × 209,820.60
  4. Step 4: Simplify right side
    315,574.20x = 99,157,795,484.22
  5. Step 5: Solve for x
    x = 99,157,795,484.22/315,574.20
  6. Step 6: Final answer
    x = 314,213.89

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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.