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Finding the Fourth Proportional to 586,389.33, 809,172.57 and 328,207.14

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Solution

The fourth proportional to 586,389.33, 809,172.57 and 328,207.14 is: 452,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,389.33 : 809,172.57 = 328,207.14 : x
  2. Step 2: Convert to fraction form
    586,389.33/809,172.57 = 328,207.14/x
  3. Step 3: Cross multiply
    586,389.33x = 809,172.57 × 328,207.14
  4. Step 4: Simplify right side
    586,389.33x = 265,576,214,966.15
  5. Step 5: Solve for x
    x = 265,576,214,966.15/586,389.33
  6. Step 6: Final answer
    x = 452,900.83

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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.