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Finding the Fourth Proportional to 510,646.50, 704,585.36 and 295,773.74

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Solution

The fourth proportional to 510,646.50, 704,585.36 and 295,773.74 is: 408,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,646.50 : 704,585.36 = 295,773.74 : x
  2. Step 2: Convert to fraction form
    510,646.50/704,585.36 = 295,773.74/x
  3. Step 3: Cross multiply
    510,646.50x = 704,585.36 × 295,773.74
  4. Step 4: Simplify right side
    510,646.50x = 208,397,847,076.45
  5. Step 5: Solve for x
    x = 208,397,847,076.45/510,646.50
  6. Step 6: Final answer
    x = 408,105.90

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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.