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Finding the Fourth Proportional to 323,465, 446,390.34 and 180,231.08

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Solution

The fourth proportional to 323,465, 446,390.34 and 180,231.08 is: 248,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,465 : 446,390.34 = 180,231.08 : x
  2. Step 2: Convert to fraction form
    323,465/446,390.34 = 180,231.08/x
  3. Step 3: Cross multiply
    323,465x = 446,390.34 × 180,231.08
  4. Step 4: Simplify right side
    323,465x = 80,453,413,079.77
  5. Step 5: Solve for x
    x = 80,453,413,079.77/323,465
  6. Step 6: Final answer
    x = 248,723.70

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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.