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Finding the Fourth Proportional to 586,296.24, 809,020.71 and 328,187.58

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Solution

The fourth proportional to 586,296.24, 809,020.71 and 328,187.58 is: 452,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,296.24 : 809,020.71 = 328,187.58 : x
  2. Step 2: Convert to fraction form
    586,296.24/809,020.71 = 328,187.58/x
  3. Step 3: Cross multiply
    586,296.24x = 809,020.71 × 328,187.58
  4. Step 4: Simplify right side
    586,296.24x = 265,510,548,984.78
  5. Step 5: Solve for x
    x = 265,510,548,984.78/586,296.24
  6. Step 6: Final answer
    x = 452,860.74

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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.