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Finding the Fourth Proportional to 329,741.82, 455,054.04 and 186,499.08

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Solution

The fourth proportional to 329,741.82, 455,054.04 and 186,499.08 is: 257,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,741.82 : 455,054.04 = 186,499.08 : x
  2. Step 2: Convert to fraction form
    329,741.82/455,054.04 = 186,499.08/x
  3. Step 3: Cross multiply
    329,741.82x = 455,054.04 × 186,499.08
  4. Step 4: Simplify right side
    329,741.82x = 84,867,159,810.28
  5. Step 5: Solve for x
    x = 84,867,159,810.28/329,741.82
  6. Step 6: Final answer
    x = 257,374.57

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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.