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Finding the Fourth Proportional to 302,778.98, 417,835.38 and 164,957.22

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Solution

The fourth proportional to 302,778.98, 417,835.38 and 164,957.22 is: 227,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,778.98 : 417,835.38 = 164,957.22 : x
  2. Step 2: Convert to fraction form
    302,778.98/417,835.38 = 164,957.22/x
  3. Step 3: Cross multiply
    302,778.98x = 417,835.38 × 164,957.22
  4. Step 4: Simplify right side
    302,778.98x = 68,924,962,702.44
  5. Step 5: Solve for x
    x = 68,924,962,702.44/302,778.98
  6. Step 6: Final answer
    x = 227,641.18

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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.