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Finding the Fourth Proportional to 413,093.94, 570,068.08 and 231,805.46

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Solution

The fourth proportional to 413,093.94, 570,068.08 and 231,805.46 is: 319,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,093.94 : 570,068.08 = 231,805.46 : x
  2. Step 2: Convert to fraction form
    413,093.94/570,068.08 = 231,805.46/x
  3. Step 3: Cross multiply
    413,093.94x = 570,068.08 × 231,805.46
  4. Step 4: Simplify right side
    413,093.94x = 132,144,893,515.72
  5. Step 5: Solve for x
    x = 132,144,893,515.72/413,093.94
  6. Step 6: Final answer
    x = 319,890.66

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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.