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Finding the Fourth Proportional to 470,522.80, 704,617.80 and 301,783.60

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Solution

The fourth proportional to 470,522.80, 704,617.80 and 301,783.60 is: 451,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.80 : 704,617.80 = 301,783.60 : x
  2. Step 2: Convert to fraction form
    470,522.80/704,617.80 = 301,783.60/x
  3. Step 3: Cross multiply
    470,522.80x = 704,617.80 × 301,783.60
  4. Step 4: Simplify right side
    470,522.80x = 212,642,096,308.08
  5. Step 5: Solve for x
    x = 212,642,096,308.08/470,522.80
  6. Step 6: Final answer
    x = 451,927.30

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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.