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Finding the Fourth Proportional to 293,641.74, 405,254.10 and 164,602.20

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Solution

The fourth proportional to 293,641.74, 405,254.10 and 164,602.20 is: 227,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,641.74 : 405,254.10 = 164,602.20 : x
  2. Step 2: Convert to fraction form
    293,641.74/405,254.10 = 164,602.20/x
  3. Step 3: Cross multiply
    293,641.74x = 405,254.10 × 164,602.20
  4. Step 4: Simplify right side
    293,641.74x = 66,705,716,419.02
  5. Step 5: Solve for x
    x = 66,705,716,419.02/293,641.74
  6. Step 6: Final answer
    x = 227,167.01

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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.