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Finding the Fourth Proportional to 323,294.88, 446,130 and 180,052.32

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Solution

The fourth proportional to 323,294.88, 446,130 and 180,052.32 is: 248,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,294.88 : 446,130 = 180,052.32 : x
  2. Step 2: Convert to fraction form
    323,294.88/446,130 = 180,052.32/x
  3. Step 3: Cross multiply
    323,294.88x = 446,130 × 180,052.32
  4. Step 4: Simplify right side
    323,294.88x = 80,326,741,521.60
  5. Step 5: Solve for x
    x = 80,326,741,521.60/323,294.88
  6. Step 6: Final answer
    x = 248,462.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.