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Finding the Fourth Proportional to 413,176.50, 620,026.92 and 176,520.96

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Solution

The fourth proportional to 413,176.50, 620,026.92 and 176,520.96 is: 264,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,176.50 : 620,026.92 = 176,520.96 : x
  2. Step 2: Convert to fraction form
    413,176.50/620,026.92 = 176,520.96/x
  3. Step 3: Cross multiply
    413,176.50x = 620,026.92 × 176,520.96
  4. Step 4: Simplify right side
    413,176.50x = 109,447,747,144.24
  5. Step 5: Solve for x
    x = 109,447,747,144.24/413,176.50
  6. Step 6: Final answer
    x = 264,893.45

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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.