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Finding the Fourth Proportional to 465,856.08, 698,931.84 and 166,330.32

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Solution

The fourth proportional to 465,856.08, 698,931.84 and 166,330.32 is: 249,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,856.08 : 698,931.84 = 166,330.32 : x
  2. Step 2: Convert to fraction form
    465,856.08/698,931.84 = 166,330.32/x
  3. Step 3: Cross multiply
    465,856.08x = 698,931.84 × 166,330.32
  4. Step 4: Simplify right side
    465,856.08x = 116,253,556,605.39
  5. Step 5: Solve for x
    x = 116,253,556,605.39/465,856.08
  6. Step 6: Final answer
    x = 249,548.22

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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.