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Finding the Fourth Proportional to 309,840.48, 463,587.84 and 183,548.52

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Solution

The fourth proportional to 309,840.48, 463,587.84 and 183,548.52 is: 274,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,840.48 : 463,587.84 = 183,548.52 : x
  2. Step 2: Convert to fraction form
    309,840.48/463,587.84 = 183,548.52/x
  3. Step 3: Cross multiply
    309,840.48x = 463,587.84 × 183,548.52
  4. Step 4: Simplify right side
    309,840.48x = 85,090,861,922.00
  5. Step 5: Solve for x
    x = 85,090,861,922.00/309,840.48
  6. Step 6: Final answer
    x = 274,627.97

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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.