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Finding the Fourth Proportional to 406,267.99, 609,635.33 and 317,271.67

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Solution

The fourth proportional to 406,267.99, 609,635.33 and 317,271.67 is: 476,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,267.99 : 609,635.33 = 317,271.67 : x
  2. Step 2: Convert to fraction form
    406,267.99/609,635.33 = 317,271.67/x
  3. Step 3: Cross multiply
    406,267.99x = 609,635.33 × 317,271.67
  4. Step 4: Simplify right side
    406,267.99x = 193,420,017,319.42
  5. Step 5: Solve for x
    x = 193,420,017,319.42/406,267.99
  6. Step 6: Final answer
    x = 476,089.73

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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.