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Finding the Fourth Proportional to 292,351, 403,444.41 and 158,215

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Solution

The fourth proportional to 292,351, 403,444.41 and 158,215 is: 218,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,351 : 403,444.41 = 158,215 : x
  2. Step 2: Convert to fraction form
    292,351/403,444.41 = 158,215/x
  3. Step 3: Cross multiply
    292,351x = 403,444.41 × 158,215
  4. Step 4: Simplify right side
    292,351x = 63,830,957,328.15
  5. Step 5: Solve for x
    x = 63,830,957,328.15/292,351
  6. Step 6: Final answer
    x = 218,336.72

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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.