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Finding the Fourth Proportional to 292,543.88, 403,718.52 and 165,238.40

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Solution

The fourth proportional to 292,543.88, 403,718.52 and 165,238.40 is: 228,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,543.88 : 403,718.52 = 165,238.40 : x
  2. Step 2: Convert to fraction form
    292,543.88/403,718.52 = 165,238.40/x
  3. Step 3: Cross multiply
    292,543.88x = 403,718.52 × 165,238.40
  4. Step 4: Simplify right side
    292,543.88x = 66,709,802,295.17
  5. Step 5: Solve for x
    x = 66,709,802,295.17/292,543.88
  6. Step 6: Final answer
    x = 228,033.49

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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.