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Finding the Fourth Proportional to 586,314.78, 809,128.09 and 328,185.30

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Solution

The fourth proportional to 586,314.78, 809,128.09 and 328,185.30 is: 452,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,314.78 : 809,128.09 = 328,185.30 : x
  2. Step 2: Convert to fraction form
    586,314.78/809,128.09 = 328,185.30/x
  3. Step 3: Cross multiply
    586,314.78x = 809,128.09 × 328,185.30
  4. Step 4: Simplify right side
    586,314.78x = 265,543,946,923.54
  5. Step 5: Solve for x
    x = 265,543,946,923.54/586,314.78
  6. Step 6: Final answer
    x = 452,903.39

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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.