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Finding the Fourth Proportional to 665,742.96, 919,206.36 and 411,442.80

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Solution

The fourth proportional to 665,742.96, 919,206.36 and 411,442.80 is: 568,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,742.96 : 919,206.36 = 411,442.80 : x
  2. Step 2: Convert to fraction form
    665,742.96/919,206.36 = 411,442.80/x
  3. Step 3: Cross multiply
    665,742.96x = 919,206.36 × 411,442.80
  4. Step 4: Simplify right side
    665,742.96x = 378,200,838,536.21
  5. Step 5: Solve for x
    x = 378,200,838,536.21/665,742.96
  6. Step 6: Final answer
    x = 568,088.38

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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.