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Finding the Fourth Proportional to 397,401.40, 596,102.10 and 353,855.80

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Solution

The fourth proportional to 397,401.40, 596,102.10 and 353,855.80 is: 530,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,401.40 : 596,102.10 = 353,855.80 : x
  2. Step 2: Convert to fraction form
    397,401.40/596,102.10 = 353,855.80/x
  3. Step 3: Cross multiply
    397,401.40x = 596,102.10 × 353,855.80
  4. Step 4: Simplify right side
    397,401.40x = 210,934,185,477.18
  5. Step 5: Solve for x
    x = 210,934,185,477.18/397,401.40
  6. Step 6: Final answer
    x = 530,783.70

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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.