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Finding the Fourth Proportional to 586,827.31, 809,841.58 and 328,715.27

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Solution

The fourth proportional to 586,827.31, 809,841.58 and 328,715.27 is: 453,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,827.31 : 809,841.58 = 328,715.27 : x
  2. Step 2: Convert to fraction form
    586,827.31/809,841.58 = 328,715.27/x
  3. Step 3: Cross multiply
    586,827.31x = 809,841.58 × 328,715.27
  4. Step 4: Simplify right side
    586,827.31x = 266,207,293,626.93
  5. Step 5: Solve for x
    x = 266,207,293,626.93/586,827.31
  6. Step 6: Final answer
    x = 453,638.22

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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.