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Finding the Fourth Proportional to 292,027.74, 402,994.23 and 164,744.22

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Solution

The fourth proportional to 292,027.74, 402,994.23 and 164,744.22 is: 227,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,027.74 : 402,994.23 = 164,744.22 : x
  2. Step 2: Convert to fraction form
    292,027.74/402,994.23 = 164,744.22/x
  3. Step 3: Cross multiply
    292,027.74x = 402,994.23 × 164,744.22
  4. Step 4: Simplify right side
    292,027.74x = 66,390,970,085.85
  5. Step 5: Solve for x
    x = 66,390,970,085.85/292,027.74
  6. Step 6: Final answer
    x = 227,344.74

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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.