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Finding the Fourth Proportional to 275,384.40, 413,232.12 and 117,596.40

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Solution

The fourth proportional to 275,384.40, 413,232.12 and 117,596.40 is: 176,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,384.40 : 413,232.12 = 117,596.40 : x
  2. Step 2: Convert to fraction form
    275,384.40/413,232.12 = 117,596.40/x
  3. Step 3: Cross multiply
    275,384.40x = 413,232.12 × 117,596.40
  4. Step 4: Simplify right side
    275,384.40x = 48,594,609,676.37
  5. Step 5: Solve for x
    x = 48,594,609,676.37/275,384.40
  6. Step 6: Final answer
    x = 176,461.01

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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.