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Finding the Fourth Proportional to 513,833.16, 709,090.38 and 287,478.84

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Solution

The fourth proportional to 513,833.16, 709,090.38 and 287,478.84 is: 396,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,833.16 : 709,090.38 = 287,478.84 : x
  2. Step 2: Convert to fraction form
    513,833.16/709,090.38 = 287,478.84/x
  3. Step 3: Cross multiply
    513,833.16x = 709,090.38 × 287,478.84
  4. Step 4: Simplify right side
    513,833.16x = 203,848,479,897.56
  5. Step 5: Solve for x
    x = 203,848,479,897.56/513,833.16
  6. Step 6: Final answer
    x = 396,721.15

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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.