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Finding the Fourth Proportional to 299,774.08, 413,492.34 and 192,173.68

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Solution

The fourth proportional to 299,774.08, 413,492.34 and 192,173.68 is: 265,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,774.08 : 413,492.34 = 192,173.68 : x
  2. Step 2: Convert to fraction form
    299,774.08/413,492.34 = 192,173.68/x
  3. Step 3: Cross multiply
    299,774.08x = 413,492.34 × 192,173.68
  4. Step 4: Simplify right side
    299,774.08x = 79,462,344,629.61
  5. Step 5: Solve for x
    x = 79,462,344,629.61/299,774.08
  6. Step 6: Final answer
    x = 265,074.10

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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.