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Finding the Fourth Proportional to 292,605.63, 403,828.64 and 165,289.42

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Solution

The fourth proportional to 292,605.63, 403,828.64 and 165,289.42 is: 228,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,605.63 : 403,828.64 = 165,289.42 : x
  2. Step 2: Convert to fraction form
    292,605.63/403,828.64 = 165,289.42/x
  3. Step 3: Cross multiply
    292,605.63x = 403,828.64 × 165,289.42
  4. Step 4: Simplify right side
    292,605.63x = 66,748,601,684.99
  5. Step 5: Solve for x
    x = 66,748,601,684.99/292,605.63
  6. Step 6: Final answer
    x = 228,117.97

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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.