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Finding the Fourth Proportional to 701,519.24, 968,420.40 and 411,090.50

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Solution

The fourth proportional to 701,519.24, 968,420.40 and 411,090.50 is: 567,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,519.24 : 968,420.40 = 411,090.50 : x
  2. Step 2: Convert to fraction form
    701,519.24/968,420.40 = 411,090.50/x
  3. Step 3: Cross multiply
    701,519.24x = 968,420.40 × 411,090.50
  4. Step 4: Simplify right side
    701,519.24x = 398,108,426,446.20
  5. Step 5: Solve for x
    x = 398,108,426,446.20/701,519.24
  6. Step 6: Final answer
    x = 567,494.67

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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.