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Finding the Fourth Proportional to 293,747.10, 405,335.16 and 164,655.78

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Solution

The fourth proportional to 293,747.10, 405,335.16 and 164,655.78 is: 227,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,747.10 : 405,335.16 = 164,655.78 : x
  2. Step 2: Convert to fraction form
    293,747.10/405,335.16 = 164,655.78/x
  3. Step 3: Cross multiply
    293,747.10x = 405,335.16 × 164,655.78
  4. Step 4: Simplify right side
    293,747.10x = 66,740,776,931.22
  5. Step 5: Solve for x
    x = 66,740,776,931.22/293,747.10
  6. Step 6: Final answer
    x = 227,204.89

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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.