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Finding the Fourth Proportional to 446,096.61, 669,145.86 and 313,569.90

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Solution

The fourth proportional to 446,096.61, 669,145.86 and 313,569.90 is: 470,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,096.61 : 669,145.86 = 313,569.90 : x
  2. Step 2: Convert to fraction form
    446,096.61/669,145.86 = 313,569.90/x
  3. Step 3: Cross multiply
    446,096.61x = 669,145.86 × 313,569.90
  4. Step 4: Simplify right side
    446,096.61x = 209,824,000,405.61
  5. Step 5: Solve for x
    x = 209,824,000,405.61/446,096.61
  6. Step 6: Final answer
    x = 470,355.51

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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.