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Finding the Fourth Proportional to 397,314.80, 596,663.40 and 210,690.80

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Solution

The fourth proportional to 397,314.80, 596,663.40 and 210,690.80 is: 316,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,314.80 : 596,663.40 = 210,690.80 : x
  2. Step 2: Convert to fraction form
    397,314.80/596,663.40 = 210,690.80/x
  3. Step 3: Cross multiply
    397,314.80x = 596,663.40 × 210,690.80
  4. Step 4: Simplify right side
    397,314.80x = 125,711,489,076.72
  5. Step 5: Solve for x
    x = 125,711,489,076.72/397,314.80
  6. Step 6: Final answer
    x = 316,402.73

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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.