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Finding the Fourth Proportional to 294,862.46, 406,924.38 and 165,841.34

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Solution

The fourth proportional to 294,862.46, 406,924.38 and 165,841.34 is: 228,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,862.46 : 406,924.38 = 165,841.34 : x
  2. Step 2: Convert to fraction form
    294,862.46/406,924.38 = 165,841.34/x
  3. Step 3: Cross multiply
    294,862.46x = 406,924.38 × 165,841.34
  4. Step 4: Simplify right side
    294,862.46x = 67,484,884,457.87
  5. Step 5: Solve for x
    x = 67,484,884,457.87/294,862.46
  6. Step 6: Final answer
    x = 228,869.03

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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.