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Finding the Fourth Proportional to 411,666.30, 616,296.60 and 293,568.30

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Solution

The fourth proportional to 411,666.30, 616,296.60 and 293,568.30 is: 439,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,666.30 : 616,296.60 = 293,568.30 : x
  2. Step 2: Convert to fraction form
    411,666.30/616,296.60 = 293,568.30/x
  3. Step 3: Cross multiply
    411,666.30x = 616,296.60 × 293,568.30
  4. Step 4: Simplify right side
    411,666.30x = 180,925,145,157.78
  5. Step 5: Solve for x
    x = 180,925,145,157.78/411,666.30
  6. Step 6: Final answer
    x = 439,494.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.