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Finding the Fourth Proportional to 538,798.20, 808,235.70 and 164,820.60

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Solution

The fourth proportional to 538,798.20, 808,235.70 and 164,820.60 is: 247,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,798.20 : 808,235.70 = 164,820.60 : x
  2. Step 2: Convert to fraction form
    538,798.20/808,235.70 = 164,820.60/x
  3. Step 3: Cross multiply
    538,798.20x = 808,235.70 × 164,820.60
  4. Step 4: Simplify right side
    538,798.20x = 133,213,893,015.42
  5. Step 5: Solve for x
    x = 133,213,893,015.42/538,798.20
  6. Step 6: Final answer
    x = 247,242.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.