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Finding the Fourth Proportional to 659,392.28, 989,167.74 and 232,840.34

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Solution

The fourth proportional to 659,392.28, 989,167.74 and 232,840.34 is: 349,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,392.28 : 989,167.74 = 232,840.34 : x
  2. Step 2: Convert to fraction form
    659,392.28/989,167.74 = 232,840.34/x
  3. Step 3: Cross multiply
    659,392.28x = 989,167.74 × 232,840.34
  4. Step 4: Simplify right side
    659,392.28x = 230,318,152,898.63
  5. Step 5: Solve for x
    x = 230,318,152,898.63/659,392.28
  6. Step 6: Final answer
    x = 349,288.52

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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.