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Finding the Fourth Proportional to 461,130.40, 691,695.60 and 274,045.60

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Solution

The fourth proportional to 461,130.40, 691,695.60 and 274,045.60 is: 411,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,130.40 : 691,695.60 = 274,045.60 : x
  2. Step 2: Convert to fraction form
    461,130.40/691,695.60 = 274,045.60/x
  3. Step 3: Cross multiply
    461,130.40x = 691,695.60 × 274,045.60
  4. Step 4: Simplify right side
    461,130.40x = 189,556,135,719.36
  5. Step 5: Solve for x
    x = 189,556,135,719.36/461,130.40
  6. Step 6: Final answer
    x = 411,068.40

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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.