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Finding the Fourth Proportional to 455,944.32, 683,774.33 and 171,674.42

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Solution

The fourth proportional to 455,944.32, 683,774.33 and 171,674.42 is: 257,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,944.32 : 683,774.33 = 171,674.42 : x
  2. Step 2: Convert to fraction form
    455,944.32/683,774.33 = 171,674.42/x
  3. Step 3: Cross multiply
    455,944.32x = 683,774.33 × 171,674.42
  4. Step 4: Simplify right side
    455,944.32x = 117,386,561,513.64
  5. Step 5: Solve for x
    x = 117,386,561,513.64/455,944.32
  6. Step 6: Final answer
    x = 257,458.11

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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.