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Finding the Fourth Proportional to 298,294.31, 411,646.22 and 164,158.31

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Solution

The fourth proportional to 298,294.31, 411,646.22 and 164,158.31 is: 226,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,294.31 : 411,646.22 = 164,158.31 : x
  2. Step 2: Convert to fraction form
    298,294.31/411,646.22 = 164,158.31/x
  3. Step 3: Cross multiply
    298,294.31x = 411,646.22 × 164,158.31
  4. Step 4: Simplify right side
    298,294.31x = 67,575,148,617.01
  5. Step 5: Solve for x
    x = 67,575,148,617.01/298,294.31
  6. Step 6: Final answer
    x = 226,538.51

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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.