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Finding the Fourth Proportional to 253,468.32, 349,775.28 and 140,284.32

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Solution

The fourth proportional to 253,468.32, 349,775.28 and 140,284.32 is: 193,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,468.32 : 349,775.28 = 140,284.32 : x
  2. Step 2: Convert to fraction form
    253,468.32/349,775.28 = 140,284.32/x
  3. Step 3: Cross multiply
    253,468.32x = 349,775.28 × 140,284.32
  4. Step 4: Simplify right side
    253,468.32x = 49,067,987,307.61
  5. Step 5: Solve for x
    x = 49,067,987,307.61/253,468.32
  6. Step 6: Final answer
    x = 193,586.27

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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.