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Finding the Fourth Proportional to 395,734, 546,147.48 and 216,920.56

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Solution

The fourth proportional to 395,734, 546,147.48 and 216,920.56 is: 299,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,734 : 546,147.48 = 216,920.56 : x
  2. Step 2: Convert to fraction form
    395,734/546,147.48 = 216,920.56/x
  3. Step 3: Cross multiply
    395,734x = 546,147.48 × 216,920.56
  4. Step 4: Simplify right side
    395,734x = 118,470,617,204.19
  5. Step 5: Solve for x
    x = 118,470,617,204.19/395,734
  6. Step 6: Final answer
    x = 299,369.32

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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.