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Finding the Fourth Proportional to 461,464.47, 692,245 and 124,507.91

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Solution

The fourth proportional to 461,464.47, 692,245 and 124,507.91 is: 186,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,464.47 : 692,245 = 124,507.91 : x
  2. Step 2: Convert to fraction form
    461,464.47/692,245 = 124,507.91/x
  3. Step 3: Cross multiply
    461,464.47x = 692,245 × 124,507.91
  4. Step 4: Simplify right side
    461,464.47x = 86,189,978,157.95
  5. Step 5: Solve for x
    x = 86,189,978,157.95/461,464.47
  6. Step 6: Final answer
    x = 186,774.90

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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.