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Finding the Fourth Proportional to 585,335.16, 807,761.16 and 317,063.16

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Solution

The fourth proportional to 585,335.16, 807,761.16 and 317,063.16 is: 437,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,335.16 : 807,761.16 = 317,063.16 : x
  2. Step 2: Convert to fraction form
    585,335.16/807,761.16 = 317,063.16/x
  3. Step 3: Cross multiply
    585,335.16x = 807,761.16 × 317,063.16
  4. Step 4: Simplify right side
    585,335.16x = 256,111,305,914.87
  5. Step 5: Solve for x
    x = 256,111,305,914.87/585,335.16
  6. Step 6: Final answer
    x = 437,546.42

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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.