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Finding the Fourth Proportional to 342,405.83, 472,684.82 and 227,875.07

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Solution

The fourth proportional to 342,405.83, 472,684.82 and 227,875.07 is: 314,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,405.83 : 472,684.82 = 227,875.07 : x
  2. Step 2: Convert to fraction form
    342,405.83/472,684.82 = 227,875.07/x
  3. Step 3: Cross multiply
    342,405.83x = 472,684.82 × 227,875.07
  4. Step 4: Simplify right side
    342,405.83x = 107,713,086,487.77
  5. Step 5: Solve for x
    x = 107,713,086,487.77/342,405.83
  6. Step 6: Final answer
    x = 314,577.25

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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.