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Finding the Fourth Proportional to 393,104.28, 542,498.94 and 214,256.28

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Solution

The fourth proportional to 393,104.28, 542,498.94 and 214,256.28 is: 295,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,104.28 : 542,498.94 = 214,256.28 : x
  2. Step 2: Convert to fraction form
    393,104.28/542,498.94 = 214,256.28/x
  3. Step 3: Cross multiply
    393,104.28x = 542,498.94 × 214,256.28
  4. Step 4: Simplify right side
    393,104.28x = 116,233,804,788.34
  5. Step 5: Solve for x
    x = 116,233,804,788.34/393,104.28
  6. Step 6: Final answer
    x = 295,681.86

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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.