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Finding the Fourth Proportional to 292,118.64, 403,127.64 and 164,793.84

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Solution

The fourth proportional to 292,118.64, 403,127.64 and 164,793.84 is: 227,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,118.64 : 403,127.64 = 164,793.84 : x
  2. Step 2: Convert to fraction form
    292,118.64/403,127.64 = 164,793.84/x
  3. Step 3: Cross multiply
    292,118.64x = 403,127.64 × 164,793.84
  4. Step 4: Simplify right side
    292,118.64x = 66,432,951,805.74
  5. Step 5: Solve for x
    x = 66,432,951,805.74/292,118.64
  6. Step 6: Final answer
    x = 227,417.71

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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.