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Finding the Fourth Proportional to 292,569.36, 403,743.38 and 158,433.36

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Solution

The fourth proportional to 292,569.36, 403,743.38 and 158,433.36 is: 218,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,569.36 : 403,743.38 = 158,433.36 : x
  2. Step 2: Convert to fraction form
    292,569.36/403,743.38 = 158,433.36/x
  3. Step 3: Cross multiply
    292,569.36x = 403,743.38 × 158,433.36
  4. Step 4: Simplify right side
    292,569.36x = 63,966,420,271.16
  5. Step 5: Solve for x
    x = 63,966,420,271.16/292,569.36
  6. Step 6: Final answer
    x = 218,636.77

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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.