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Finding the Fourth Proportional to 292,684.52, 403,903.80 and 165,360.08

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Solution

The fourth proportional to 292,684.52, 403,903.80 and 165,360.08 is: 228,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,684.52 : 403,903.80 = 165,360.08 : x
  2. Step 2: Convert to fraction form
    292,684.52/403,903.80 = 165,360.08/x
  3. Step 3: Cross multiply
    292,684.52x = 403,903.80 × 165,360.08
  4. Step 4: Simplify right side
    292,684.52x = 66,789,564,680.30
  5. Step 5: Solve for x
    x = 66,789,564,680.30/292,684.52
  6. Step 6: Final answer
    x = 228,196.44

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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.