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Finding the Fourth Proportional to 523,906.14, 785,779.02 and 168,883.14

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Solution

The fourth proportional to 523,906.14, 785,779.02 and 168,883.14 is: 253,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,906.14 : 785,779.02 = 168,883.14 : x
  2. Step 2: Convert to fraction form
    523,906.14/785,779.02 = 168,883.14/x
  3. Step 3: Cross multiply
    523,906.14x = 785,779.02 × 168,883.14
  4. Step 4: Simplify right side
    523,906.14x = 132,704,828,243.72
  5. Step 5: Solve for x
    x = 132,704,828,243.72/523,906.14
  6. Step 6: Final answer
    x = 253,298.86

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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.