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Finding the Fourth Proportional to 429,323.56, 592,361.22 and 257,269.48

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Solution

The fourth proportional to 429,323.56, 592,361.22 and 257,269.48 is: 354,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,323.56 : 592,361.22 = 257,269.48 : x
  2. Step 2: Convert to fraction form
    429,323.56/592,361.22 = 257,269.48/x
  3. Step 3: Cross multiply
    429,323.56x = 592,361.22 × 257,269.48
  4. Step 4: Simplify right side
    429,323.56x = 152,396,463,041.57
  5. Step 5: Solve for x
    x = 152,396,463,041.57/429,323.56
  6. Step 6: Final answer
    x = 354,968.79

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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.