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Finding the Fourth Proportional to 297,114.10, 445,474.35 and 164,058.10

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Solution

The fourth proportional to 297,114.10, 445,474.35 and 164,058.10 is: 245,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114.10 : 445,474.35 = 164,058.10 : x
  2. Step 2: Convert to fraction form
    297,114.10/445,474.35 = 164,058.10/x
  3. Step 3: Cross multiply
    297,114.10x = 445,474.35 × 164,058.10
  4. Step 4: Simplify right side
    297,114.10x = 73,083,675,459.74
  5. Step 5: Solve for x
    x = 73,083,675,459.74/297,114.10
  6. Step 6: Final answer
    x = 245,978.48

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1.5x scale

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.