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Finding the Fourth Proportional to 429,322.56, 592,359.84 and 257,268.48

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Solution

The fourth proportional to 429,322.56, 592,359.84 and 257,268.48 is: 354,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,322.56 : 592,359.84 = 257,268.48 : x
  2. Step 2: Convert to fraction form
    429,322.56/592,359.84 = 257,268.48/x
  3. Step 3: Cross multiply
    429,322.56x = 592,359.84 × 257,268.48
  4. Step 4: Simplify right side
    429,322.56x = 152,395,515,649.84
  5. Step 5: Solve for x
    x = 152,395,515,649.84/429,322.56
  6. Step 6: Final answer
    x = 354,967.41

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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.