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Finding the Fourth Proportional to 429,158.52, 592,199.62 and 254,698.64

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Solution

The fourth proportional to 429,158.52, 592,199.62 and 254,698.64 is: 351,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,158.52 : 592,199.62 = 254,698.64 : x
  2. Step 2: Convert to fraction form
    429,158.52/592,199.62 = 254,698.64/x
  3. Step 3: Cross multiply
    429,158.52x = 592,199.62 × 254,698.64
  4. Step 4: Simplify right side
    429,158.52x = 150,832,437,822.52
  5. Step 5: Solve for x
    x = 150,832,437,822.52/429,158.52
  6. Step 6: Final answer
    x = 351,460.90

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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.