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Finding the Fourth Proportional to 686,074.51, 946,781.89 and 380,170.70

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Solution

The fourth proportional to 686,074.51, 946,781.89 and 380,170.70 is: 524,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,074.51 : 946,781.89 = 380,170.70 : x
  2. Step 2: Convert to fraction form
    686,074.51/946,781.89 = 380,170.70/x
  3. Step 3: Cross multiply
    686,074.51x = 946,781.89 × 380,170.70
  4. Step 4: Simplify right side
    686,074.51x = 359,938,727,233.86
  5. Step 5: Solve for x
    x = 359,938,727,233.86/686,074.51
  6. Step 6: Final answer
    x = 524,635.04

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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.