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Finding the Fourth Proportional to 665,094.24, 997,634.52 and 166,458.24

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Solution

The fourth proportional to 665,094.24, 997,634.52 and 166,458.24 is: 249,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,094.24 : 997,634.52 = 166,458.24 : x
  2. Step 2: Convert to fraction form
    665,094.24/997,634.52 = 166,458.24/x
  3. Step 3: Cross multiply
    665,094.24x = 997,634.52 × 166,458.24
  4. Step 4: Simplify right side
    665,094.24x = 166,064,486,362.45
  5. Step 5: Solve for x
    x = 166,064,486,362.45/665,094.24
  6. Step 6: Final answer
    x = 249,685.65

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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.