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Finding the Fourth Proportional to 389,970.64, 584,956.08 and 140,652.64

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Solution

The fourth proportional to 389,970.64, 584,956.08 and 140,652.64 is: 210,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,970.64 : 584,956.08 = 140,652.64 : x
  2. Step 2: Convert to fraction form
    389,970.64/584,956.08 = 140,652.64/x
  3. Step 3: Cross multiply
    389,970.64x = 584,956.08 × 140,652.64
  4. Step 4: Simplify right side
    389,970.64x = 82,275,616,936.05
  5. Step 5: Solve for x
    x = 82,275,616,936.05/389,970.64
  6. Step 6: Final answer
    x = 210,979.00

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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.