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Finding the Fourth Proportional to 294,225.43, 406,019.14 and 166,898.29

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Solution

The fourth proportional to 294,225.43, 406,019.14 and 166,898.29 is: 230,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,225.43 : 406,019.14 = 166,898.29 : x
  2. Step 2: Convert to fraction form
    294,225.43/406,019.14 = 166,898.29/x
  3. Step 3: Cross multiply
    294,225.43x = 406,019.14 × 166,898.29
  4. Step 4: Simplify right side
    294,225.43x = 67,763,900,173.27
  5. Step 5: Solve for x
    x = 67,763,900,173.27/294,225.43
  6. Step 6: Final answer
    x = 230,312.86

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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.