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Finding the Fourth Proportional to 470,361.08, 706,449.64 and 403,045.22

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Solution

The fourth proportional to 470,361.08, 706,449.64 and 403,045.22 is: 605,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,361.08 : 706,449.64 = 403,045.22 : x
  2. Step 2: Convert to fraction form
    470,361.08/706,449.64 = 403,045.22/x
  3. Step 3: Cross multiply
    470,361.08x = 706,449.64 × 403,045.22
  4. Step 4: Simplify right side
    470,361.08x = 284,731,150,572.72
  5. Step 5: Solve for x
    x = 284,731,150,572.72/470,361.08
  6. Step 6: Final answer
    x = 605,345.90

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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.