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Finding the Fourth Proportional to 510,865.96, 704,994.90 and 296,130.64

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Solution

The fourth proportional to 510,865.96, 704,994.90 and 296,130.64 is: 408,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,865.96 : 704,994.90 = 296,130.64 : x
  2. Step 2: Convert to fraction form
    510,865.96/704,994.90 = 296,130.64/x
  3. Step 3: Cross multiply
    510,865.96x = 704,994.90 × 296,130.64
  4. Step 4: Simplify right side
    510,865.96x = 208,770,590,933.74
  5. Step 5: Solve for x
    x = 208,770,590,933.74/510,865.96
  6. Step 6: Final answer
    x = 408,660.21

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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.