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Finding the Fourth Proportional to 517,989.35, 714,858.16 and 314,059.80

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Solution

The fourth proportional to 517,989.35, 714,858.16 and 314,059.80 is: 433,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,989.35 : 714,858.16 = 314,059.80 : x
  2. Step 2: Convert to fraction form
    517,989.35/714,858.16 = 314,059.80/x
  3. Step 3: Cross multiply
    517,989.35x = 714,858.16 × 314,059.80
  4. Step 4: Simplify right side
    517,989.35x = 224,508,210,757.97
  5. Step 5: Solve for x
    x = 224,508,210,757.97/517,989.35
  6. Step 6: Final answer
    x = 433,422.45

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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.