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Finding the Fourth Proportional to 517,906.07, 714,746.30 and 313,965.59

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Solution

The fourth proportional to 517,906.07, 714,746.30 and 313,965.59 is: 433,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,906.07 : 714,746.30 = 313,965.59 : x
  2. Step 2: Convert to fraction form
    517,906.07/714,746.30 = 313,965.59/x
  3. Step 3: Cross multiply
    517,906.07x = 714,746.30 × 313,965.59
  4. Step 4: Simplify right side
    517,906.07x = 224,405,738,636.26
  5. Step 5: Solve for x
    x = 224,405,738,636.26/517,906.07
  6. Step 6: Final answer
    x = 433,294.29

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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.