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Finding the Fourth Proportional to 529,677, 731,015.16 and 314,814.96

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Solution

The fourth proportional to 529,677, 731,015.16 and 314,814.96 is: 434,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,677 : 731,015.16 = 314,814.96 : x
  2. Step 2: Convert to fraction form
    529,677/731,015.16 = 314,814.96/x
  3. Step 3: Cross multiply
    529,677x = 731,015.16 × 314,814.96
  4. Step 4: Simplify right side
    529,677x = 230,134,508,354.79
  5. Step 5: Solve for x
    x = 230,134,508,354.79/529,677
  6. Step 6: Final answer
    x = 434,480.84

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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.