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Finding the Fourth Proportional to 470,851.60, 706,018.20 and 190,051.60

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Solution

The fourth proportional to 470,851.60, 706,018.20 and 190,051.60 is: 284,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,851.60 : 706,018.20 = 190,051.60 : x
  2. Step 2: Convert to fraction form
    470,851.60/706,018.20 = 190,051.60/x
  3. Step 3: Cross multiply
    470,851.60x = 706,018.20 × 190,051.60
  4. Step 4: Simplify right side
    470,851.60x = 134,179,888,539.12
  5. Step 5: Solve for x
    x = 134,179,888,539.12/470,851.60
  6. Step 6: Final answer
    x = 284,972.78

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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.