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Finding the Fourth Proportional to 347,104.53, 478,862.93 and 226,201.77

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Solution

The fourth proportional to 347,104.53, 478,862.93 and 226,201.77 is: 312,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,104.53 : 478,862.93 = 226,201.77 : x
  2. Step 2: Convert to fraction form
    347,104.53/478,862.93 = 226,201.77/x
  3. Step 3: Cross multiply
    347,104.53x = 478,862.93 × 226,201.77
  4. Step 4: Simplify right side
    347,104.53x = 108,319,642,353.39
  5. Step 5: Solve for x
    x = 108,319,642,353.39/347,104.53
  6. Step 6: Final answer
    x = 312,066.35

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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.