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Finding the Fourth Proportional to 294,443.95, 406,302.13 and 165,396.91

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Solution

The fourth proportional to 294,443.95, 406,302.13 and 165,396.91 is: 228,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.95 : 406,302.13 = 165,396.91 : x
  2. Step 2: Convert to fraction form
    294,443.95/406,302.13 = 165,396.91/x
  3. Step 3: Cross multiply
    294,443.95x = 406,302.13 × 165,396.91
  4. Step 4: Simplify right side
    294,443.95x = 67,201,116,828.42
  5. Step 5: Solve for x
    x = 67,201,116,828.42/294,443.95
  6. Step 6: Final answer
    x = 228,230.59

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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.