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Finding the Fourth Proportional to 393,102.28, 542,496.18 and 214,254.28

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Solution

The fourth proportional to 393,102.28, 542,496.18 and 214,254.28 is: 295,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,102.28 : 542,496.18 = 214,254.28 : x
  2. Step 2: Convert to fraction form
    393,102.28/542,496.18 = 214,254.28/x
  3. Step 3: Cross multiply
    393,102.28x = 542,496.18 × 214,254.28
  4. Step 4: Simplify right side
    393,102.28x = 116,232,128,448.65
  5. Step 5: Solve for x
    x = 116,232,128,448.65/393,102.28
  6. Step 6: Final answer
    x = 295,679.10

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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.