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Finding the Fourth Proportional to 292,015.44, 402,981.24 and 164,690.76

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Solution

The fourth proportional to 292,015.44, 402,981.24 and 164,690.76 is: 227,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,015.44 : 402,981.24 = 164,690.76 : x
  2. Step 2: Convert to fraction form
    292,015.44/402,981.24 = 164,690.76/x
  3. Step 3: Cross multiply
    292,015.44x = 402,981.24 × 164,690.76
  4. Step 4: Simplify right side
    292,015.44x = 66,367,286,681.34
  5. Step 5: Solve for x
    x = 66,367,286,681.34/292,015.44
  6. Step 6: Final answer
    x = 227,273.21

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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.