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Finding the Fourth Proportional to 298,294.28, 411,645.96 and 164,158.28

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Solution

The fourth proportional to 298,294.28, 411,645.96 and 164,158.28 is: 226,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,294.28 : 411,645.96 = 164,158.28 : x
  2. Step 2: Convert to fraction form
    298,294.28/411,645.96 = 164,158.28/x
  3. Step 3: Cross multiply
    298,294.28x = 411,645.96 × 164,158.28
  4. Step 4: Simplify right side
    298,294.28x = 67,575,092,762.55
  5. Step 5: Solve for x
    x = 67,575,092,762.55/298,294.28
  6. Step 6: Final answer
    x = 226,538.35

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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.