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Finding the Fourth Proportional to 293,659.16, 405,153.24 and 164,578.76

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Solution

The fourth proportional to 293,659.16, 405,153.24 and 164,578.76 is: 227,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,659.16 : 405,153.24 = 164,578.76 : x
  2. Step 2: Convert to fraction form
    293,659.16/405,153.24 = 164,578.76/x
  3. Step 3: Cross multiply
    293,659.16x = 405,153.24 × 164,578.76
  4. Step 4: Simplify right side
    293,659.16x = 66,679,617,849.18
  5. Step 5: Solve for x
    x = 66,679,617,849.18/293,659.16
  6. Step 6: Final answer
    x = 227,064.66

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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.