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Finding the Fourth Proportional to 309,562.94, 464,390.54 and 109,866.60

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Solution

The fourth proportional to 309,562.94, 464,390.54 and 109,866.60 is: 164,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,562.94 : 464,390.54 = 109,866.60 : x
  2. Step 2: Convert to fraction form
    309,562.94/464,390.54 = 109,866.60/x
  3. Step 3: Cross multiply
    309,562.94x = 464,390.54 × 109,866.60
  4. Step 4: Simplify right side
    309,562.94x = 51,021,009,701.96
  5. Step 5: Solve for x
    x = 51,021,009,701.96/309,562.94
  6. Step 6: Final answer
    x = 164,816.27

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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.