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Finding the Fourth Proportional to 524,331.36, 786,548.16 and 208,714.56

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Solution

The fourth proportional to 524,331.36, 786,548.16 and 208,714.56 is: 313,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,331.36 : 786,548.16 = 208,714.56 : x
  2. Step 2: Convert to fraction form
    524,331.36/786,548.16 = 208,714.56/x
  3. Step 3: Cross multiply
    524,331.36x = 786,548.16 × 208,714.56
  4. Step 4: Simplify right side
    524,331.36x = 164,164,053,133.21
  5. Step 5: Solve for x
    x = 164,164,053,133.21/524,331.36
  6. Step 6: Final answer
    x = 313,092.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.