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Finding the Fourth Proportional to 446,645.40, 669,968.10 and 257,105.40

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Solution

The fourth proportional to 446,645.40, 669,968.10 and 257,105.40 is: 385,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,645.40 : 669,968.10 = 257,105.40 : x
  2. Step 2: Convert to fraction form
    446,645.40/669,968.10 = 257,105.40/x
  3. Step 3: Cross multiply
    446,645.40x = 669,968.10 × 257,105.40
  4. Step 4: Simplify right side
    446,645.40x = 172,252,416,337.74
  5. Step 5: Solve for x
    x = 172,252,416,337.74/446,645.40
  6. Step 6: Final answer
    x = 385,658.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.