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Finding the Fourth Proportional to 326,725.94, 450,686.19 and 205,657.06

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Solution

The fourth proportional to 326,725.94, 450,686.19 and 205,657.06 is: 283,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,725.94 : 450,686.19 = 205,657.06 : x
  2. Step 2: Convert to fraction form
    326,725.94/450,686.19 = 205,657.06/x
  3. Step 3: Cross multiply
    326,725.94x = 450,686.19 × 205,657.06
  4. Step 4: Simplify right side
    326,725.94x = 92,686,796,818.00
  5. Step 5: Solve for x
    x = 92,686,796,818.00/326,725.94
  6. Step 6: Final answer
    x = 283,683.62

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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.