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Finding the Fourth Proportional to 470,784.78, 649,634.43 and 279,761.40

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Solution

The fourth proportional to 470,784.78, 649,634.43 and 279,761.40 is: 386,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,784.78 : 649,634.43 = 279,761.40 : x
  2. Step 2: Convert to fraction form
    470,784.78/649,634.43 = 279,761.40/x
  3. Step 3: Cross multiply
    470,784.78x = 649,634.43 × 279,761.40
  4. Step 4: Simplify right side
    470,784.78x = 181,742,637,625.00
  5. Step 5: Solve for x
    x = 181,742,637,625.00/470,784.78
  6. Step 6: Final answer
    x = 386,041.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.