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Finding the Fourth Proportional to 529,804.72, 731,401.41 and 408,674.08

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Solution

The fourth proportional to 529,804.72, 731,401.41 and 408,674.08 is: 564,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,804.72 : 731,401.41 = 408,674.08 : x
  2. Step 2: Convert to fraction form
    529,804.72/731,401.41 = 408,674.08/x
  3. Step 3: Cross multiply
    529,804.72x = 731,401.41 × 408,674.08
  4. Step 4: Simplify right side
    529,804.72x = 298,904,798,342.45
  5. Step 5: Solve for x
    x = 298,904,798,342.45/529,804.72
  6. Step 6: Final answer
    x = 564,179.19

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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.