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Finding the Fourth Proportional to 585,901.77, 808,537.16 and 344,206.37

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Solution

The fourth proportional to 585,901.77, 808,537.16 and 344,206.37 is: 475,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,901.77 : 808,537.16 = 344,206.37 : x
  2. Step 2: Convert to fraction form
    585,901.77/808,537.16 = 344,206.37/x
  3. Step 3: Cross multiply
    585,901.77x = 808,537.16 × 344,206.37
  4. Step 4: Simplify right side
    585,901.77x = 278,303,639,132.68
  5. Step 5: Solve for x
    x = 278,303,639,132.68/585,901.77
  6. Step 6: Final answer
    x = 475,000.51

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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.