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Finding the Fourth Proportional to 412,674.02, 569,482.92 and 231,385.38

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Solution

The fourth proportional to 412,674.02, 569,482.92 and 231,385.38 is: 319,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,674.02 : 569,482.92 = 231,385.38 : x
  2. Step 2: Convert to fraction form
    412,674.02/569,482.92 = 231,385.38/x
  3. Step 3: Cross multiply
    412,674.02x = 569,482.92 × 231,385.38
  4. Step 4: Simplify right side
    412,674.02x = 131,770,021,847.71
  5. Step 5: Solve for x
    x = 131,770,021,847.71/412,674.02
  6. Step 6: Final answer
    x = 319,307.77

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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.