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Finding the Fourth Proportional to 397,315.80, 596,664.90 and 210,691.80

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Solution

The fourth proportional to 397,315.80, 596,664.90 and 210,691.80 is: 316,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,315.80 : 596,664.90 = 210,691.80 : x
  2. Step 2: Convert to fraction form
    397,315.80/596,664.90 = 210,691.80/x
  3. Step 3: Cross multiply
    397,315.80x = 596,664.90 × 210,691.80
  4. Step 4: Simplify right side
    397,315.80x = 125,712,401,777.82
  5. Step 5: Solve for x
    x = 125,712,401,777.82/397,315.80
  6. Step 6: Final answer
    x = 316,404.24

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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.