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Finding the Fourth Proportional to 329,807.16, 455,143.86 and 186,564.42

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Solution

The fourth proportional to 329,807.16, 455,143.86 and 186,564.42 is: 257,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,807.16 : 455,143.86 = 186,564.42 : x
  2. Step 2: Convert to fraction form
    329,807.16/455,143.86 = 186,564.42/x
  3. Step 3: Cross multiply
    329,807.16x = 455,143.86 × 186,564.42
  4. Step 4: Simplify right side
    329,807.16x = 84,913,650,257.46
  5. Step 5: Solve for x
    x = 84,913,650,257.46/329,807.16
  6. Step 6: Final answer
    x = 257,464.54

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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.