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Finding the Fourth Proportional to 333,666.14, 500,548.01 and 96,978.06

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Solution

The fourth proportional to 333,666.14, 500,548.01 and 96,978.06 is: 145,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,666.14 : 500,548.01 = 96,978.06 : x
  2. Step 2: Convert to fraction form
    333,666.14/500,548.01 = 96,978.06/x
  3. Step 3: Cross multiply
    333,666.14x = 500,548.01 × 96,978.06
  4. Step 4: Simplify right side
    333,666.14x = 48,542,174,461.77
  5. Step 5: Solve for x
    x = 48,542,174,461.77/333,666.14
  6. Step 6: Final answer
    x = 145,481.27

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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.