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Finding the Fourth Proportional to 227,425.44, 314,264.16 and 216,500.16

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Solution

The fourth proportional to 227,425.44, 314,264.16 and 216,500.16 is: 299,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,425.44 : 314,264.16 = 216,500.16 : x
  2. Step 2: Convert to fraction form
    227,425.44/314,264.16 = 216,500.16/x
  3. Step 3: Cross multiply
    227,425.44x = 314,264.16 × 216,500.16
  4. Step 4: Simplify right side
    227,425.44x = 68,038,240,922.27
  5. Step 5: Solve for x
    x = 68,038,240,922.27/227,425.44
  6. Step 6: Final answer
    x = 299,167.24

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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.