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Finding the Fourth Proportional to 429,160.51, 592,202.37 and 254,700.64

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Solution

The fourth proportional to 429,160.51, 592,202.37 and 254,700.64 is: 351,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,160.51 : 592,202.37 = 254,700.64 : x
  2. Step 2: Convert to fraction form
    429,160.51/592,202.37 = 254,700.64/x
  3. Step 3: Cross multiply
    429,160.51x = 592,202.37 × 254,700.64
  4. Step 4: Simplify right side
    429,160.51x = 150,834,322,648.52
  5. Step 5: Solve for x
    x = 150,834,322,648.52/429,160.51
  6. Step 6: Final answer
    x = 351,463.66

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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.