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Finding the Fourth Proportional to 293,653.14, 405,144.95 and 164,572.75

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Solution

The fourth proportional to 293,653.14, 405,144.95 and 164,572.75 is: 227,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,653.14 : 405,144.95 = 164,572.75 : x
  2. Step 2: Convert to fraction form
    293,653.14/405,144.95 = 164,572.75/x
  3. Step 3: Cross multiply
    293,653.14x = 405,144.95 × 164,572.75
  4. Step 4: Simplify right side
    293,653.14x = 66,675,818,570.11
  5. Step 5: Solve for x
    x = 66,675,818,570.11/293,653.14
  6. Step 6: Final answer
    x = 227,056.38

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1.5x scale

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.