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Finding the Fourth Proportional to 520,178.80, 780,268.20 and 146,201.80

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Solution

The fourth proportional to 520,178.80, 780,268.20 and 146,201.80 is: 219,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,178.80 : 780,268.20 = 146,201.80 : x
  2. Step 2: Convert to fraction form
    520,178.80/780,268.20 = 146,201.80/x
  3. Step 3: Cross multiply
    520,178.80x = 780,268.20 × 146,201.80
  4. Step 4: Simplify right side
    520,178.80x = 114,076,615,322.76
  5. Step 5: Solve for x
    x = 114,076,615,322.76/520,178.80
  6. Step 6: Final answer
    x = 219,302.70

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