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Finding the Fourth Proportional to 365,076.45, 546,871.07 and 297,848.07

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Solution

The fourth proportional to 365,076.45, 546,871.07 and 297,848.07 is: 446,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,076.45 : 546,871.07 = 297,848.07 : x
  2. Step 2: Convert to fraction form
    365,076.45/546,871.07 = 297,848.07/x
  3. Step 3: Cross multiply
    365,076.45x = 546,871.07 × 297,848.07
  4. Step 4: Simplify right side
    365,076.45x = 162,884,491,249.10
  5. Step 5: Solve for x
    x = 162,884,491,249.10/365,076.45
  6. Step 6: Final answer
    x = 446,165.43

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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.