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Finding the Fourth Proportional to 347,980.66, 480,205.33 and 202,777.20

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Solution

The fourth proportional to 347,980.66, 480,205.33 and 202,777.20 is: 279,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,980.66 : 480,205.33 = 202,777.20 : x
  2. Step 2: Convert to fraction form
    347,980.66/480,205.33 = 202,777.20/x
  3. Step 3: Cross multiply
    347,980.66x = 480,205.33 × 202,777.20
  4. Step 4: Simplify right side
    347,980.66x = 97,374,691,735.53
  5. Step 5: Solve for x
    x = 97,374,691,735.53/347,980.66
  6. Step 6: Final answer
    x = 279,827.89

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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.