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Finding the Fourth Proportional to 295,438.07, 407,699.17 and 166,376.03

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Solution

The fourth proportional to 295,438.07, 407,699.17 and 166,376.03 is: 229,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,438.07 : 407,699.17 = 166,376.03 : x
  2. Step 2: Convert to fraction form
    295,438.07/407,699.17 = 166,376.03/x
  3. Step 3: Cross multiply
    295,438.07x = 407,699.17 × 166,376.03
  4. Step 4: Simplify right side
    295,438.07x = 67,831,367,820.32
  5. Step 5: Solve for x
    x = 67,831,367,820.32/295,438.07
  6. Step 6: Final answer
    x = 229,595.89

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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.