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Finding the Fourth Proportional to 686,012.67, 946,697.40 and 384,206.67

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Solution

The fourth proportional to 686,012.67, 946,697.40 and 384,206.67 is: 530,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,012.67 : 946,697.40 = 384,206.67 : x
  2. Step 2: Convert to fraction form
    686,012.67/946,697.40 = 384,206.67/x
  3. Step 3: Cross multiply
    686,012.67x = 946,697.40 × 384,206.67
  4. Step 4: Simplify right side
    686,012.67x = 363,727,455,551.66
  5. Step 5: Solve for x
    x = 363,727,455,551.66/686,012.67
  6. Step 6: Final answer
    x = 530,205.16

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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.