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Finding the Fourth Proportional to 413,656.06, 570,783.20 and 232,333.27

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Solution

The fourth proportional to 413,656.06, 570,783.20 and 232,333.27 is: 320,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,656.06 : 570,783.20 = 232,333.27 : x
  2. Step 2: Convert to fraction form
    413,656.06/570,783.20 = 232,333.27/x
  3. Step 3: Cross multiply
    413,656.06x = 570,783.20 × 232,333.27
  4. Step 4: Simplify right side
    413,656.06x = 132,611,924,463.15
  5. Step 5: Solve for x
    x = 132,611,924,463.15/413,656.06
  6. Step 6: Final answer
    x = 320,584.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.