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Finding the Fourth Proportional to 538,933.60, 808,515.60 and 164,994.40

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Solution

The fourth proportional to 538,933.60, 808,515.60 and 164,994.40 is: 247,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,933.60 : 808,515.60 = 164,994.40 : x
  2. Step 2: Convert to fraction form
    538,933.60/808,515.60 = 164,994.40/x
  3. Step 3: Cross multiply
    538,933.60x = 808,515.60 × 164,994.40
  4. Step 4: Simplify right side
    538,933.60x = 133,400,546,312.64
  5. Step 5: Solve for x
    x = 133,400,546,312.64/538,933.60
  6. Step 6: Final answer
    x = 247,526.87

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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.