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Finding the Fourth Proportional to 686,924.14, 946,860 and 541,492.75

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Solution

The fourth proportional to 686,924.14, 946,860 and 541,492.75 is: 746,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,924.14 : 946,860 = 541,492.75 : x
  2. Step 2: Convert to fraction form
    686,924.14/946,860 = 541,492.75/x
  3. Step 3: Cross multiply
    686,924.14x = 946,860 × 541,492.75
  4. Step 4: Simplify right side
    686,924.14x = 512,717,825,265
  5. Step 5: Solve for x
    x = 512,717,825,265/686,924.14
  6. Step 6: Final answer
    x = 746,396.57

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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.