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Finding the Fourth Proportional to 569,670.40, 854,431.44 and 148,978.72

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Solution

The fourth proportional to 569,670.40, 854,431.44 and 148,978.72 is: 223,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,670.40 : 854,431.44 = 148,978.72 : x
  2. Step 2: Convert to fraction form
    569,670.40/854,431.44 = 148,978.72/x
  3. Step 3: Cross multiply
    569,670.40x = 854,431.44 × 148,978.72
  4. Step 4: Simplify right side
    569,670.40x = 127,292,102,258.96
  5. Step 5: Solve for x
    x = 127,292,102,258.96/569,670.40
  6. Step 6: Final answer
    x = 223,448.69

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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.