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Finding the Fourth Proportional to 299,957.34, 413,952.18 and 164,000.34

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Solution

The fourth proportional to 299,957.34, 413,952.18 and 164,000.34 is: 226,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,957.34 : 413,952.18 = 164,000.34 : x
  2. Step 2: Convert to fraction form
    299,957.34/413,952.18 = 164,000.34/x
  3. Step 3: Cross multiply
    299,957.34x = 413,952.18 × 164,000.34
  4. Step 4: Simplify right side
    299,957.34x = 67,888,298,263.74
  5. Step 5: Solve for x
    x = 67,888,298,263.74/299,957.34
  6. Step 6: Final answer
    x = 226,326.51

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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.