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Finding the Fourth Proportional to 287,881.30, 397,471.89 and 186,152.86

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Solution

The fourth proportional to 287,881.30, 397,471.89 and 186,152.86 is: 257,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,881.30 : 397,471.89 = 186,152.86 : x
  2. Step 2: Convert to fraction form
    287,881.30/397,471.89 = 186,152.86/x
  3. Step 3: Cross multiply
    287,881.30x = 397,471.89 × 186,152.86
  4. Step 4: Simplify right side
    287,881.30x = 73,990,529,093.11
  5. Step 5: Solve for x
    x = 73,990,529,093.11/287,881.30
  6. Step 6: Final answer
    x = 257,017.49

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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.