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Finding the Fourth Proportional to 294,978, 407,069.64 and 160,842.32

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Solution

The fourth proportional to 294,978, 407,069.64 and 160,842.32 is: 221,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,978 : 407,069.64 = 160,842.32 : x
  2. Step 2: Convert to fraction form
    294,978/407,069.64 = 160,842.32/x
  3. Step 3: Cross multiply
    294,978x = 407,069.64 × 160,842.32
  4. Step 4: Simplify right side
    294,978x = 65,474,025,299.16
  5. Step 5: Solve for x
    x = 65,474,025,299.16/294,978
  6. Step 6: Final answer
    x = 221,962.40

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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.