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Finding the Fourth Proportional to 397,693.08, 548,840.10 and 227,938.12

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Solution

The fourth proportional to 397,693.08, 548,840.10 and 227,938.12 is: 314,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,693.08 : 548,840.10 = 227,938.12 : x
  2. Step 2: Convert to fraction form
    397,693.08/548,840.10 = 227,938.12/x
  3. Step 3: Cross multiply
    397,693.08x = 548,840.10 × 227,938.12
  4. Step 4: Simplify right side
    397,693.08x = 125,101,580,574.61
  5. Step 5: Solve for x
    x = 125,101,580,574.61/397,693.08
  6. Step 6: Final answer
    x = 314,568.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.