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Finding the Fourth Proportional to 329,810.48, 455,138.62 and 186,567.48

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Solution

The fourth proportional to 329,810.48, 455,138.62 and 186,567.48 is: 257,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,810.48 : 455,138.62 = 186,567.48 : x
  2. Step 2: Convert to fraction form
    329,810.48/455,138.62 = 186,567.48/x
  3. Step 3: Cross multiply
    329,810.48x = 455,138.62 × 186,567.48
  4. Step 4: Simplify right side
    329,810.48x = 84,914,065,384.08
  5. Step 5: Solve for x
    x = 84,914,065,384.08/329,810.48
  6. Step 6: Final answer
    x = 257,463.21

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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.