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Finding the Fourth Proportional to 315,455.20, 472,405.20 and 209,701.60

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Solution

The fourth proportional to 315,455.20, 472,405.20 and 209,701.60 is: 314,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,455.20 : 472,405.20 = 209,701.60 : x
  2. Step 2: Convert to fraction form
    315,455.20/472,405.20 = 209,701.60/x
  3. Step 3: Cross multiply
    315,455.20x = 472,405.20 × 209,701.60
  4. Step 4: Simplify right side
    315,455.20x = 99,064,126,288.32
  5. Step 5: Solve for x
    x = 99,064,126,288.32/315,455.20
  6. Step 6: Final answer
    x = 314,035.48

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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.