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Finding the Fourth Proportional to 501,256.34, 691,770.34 and 286,391.78

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Solution

The fourth proportional to 501,256.34, 691,770.34 and 286,391.78 is: 395,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,256.34 : 691,770.34 = 286,391.78 : x
  2. Step 2: Convert to fraction form
    501,256.34/691,770.34 = 286,391.78/x
  3. Step 3: Cross multiply
    501,256.34x = 691,770.34 × 286,391.78
  4. Step 4: Simplify right side
    501,256.34x = 198,117,339,023.81
  5. Step 5: Solve for x
    x = 198,117,339,023.81/501,256.34
  6. Step 6: Final answer
    x = 395,241.56

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1.5x scale

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.