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Finding the Fourth Proportional to 413,555.84, 619,892.71 and 235,679.84

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Solution

The fourth proportional to 413,555.84, 619,892.71 and 235,679.84 is: 353,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,555.84 : 619,892.71 = 235,679.84 : x
  2. Step 2: Convert to fraction form
    413,555.84/619,892.71 = 235,679.84/x
  3. Step 3: Cross multiply
    413,555.84x = 619,892.71 × 235,679.84
  4. Step 4: Simplify right side
    413,555.84x = 146,096,213,345.90
  5. Step 5: Solve for x
    x = 146,096,213,345.90/413,555.84
  6. Step 6: Final answer
    x = 353,268.41

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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.