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Finding the Fourth Proportional to 470,935.20, 706,402.80 and 281,978.40

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Solution

The fourth proportional to 470,935.20, 706,402.80 and 281,978.40 is: 422,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,935.20 : 706,402.80 = 281,978.40 : x
  2. Step 2: Convert to fraction form
    470,935.20/706,402.80 = 281,978.40/x
  3. Step 3: Cross multiply
    470,935.20x = 706,402.80 × 281,978.40
  4. Step 4: Simplify right side
    470,935.20x = 199,190,331,299.52
  5. Step 5: Solve for x
    x = 199,190,331,299.52/470,935.20
  6. Step 6: Final answer
    x = 422,967.60

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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.