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Finding the Fourth Proportional to 470,960.10, 706,440.15 and 282,003.30

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Solution

The fourth proportional to 470,960.10, 706,440.15 and 282,003.30 is: 423,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,960.10 : 706,440.15 = 282,003.30 : x
  2. Step 2: Convert to fraction form
    470,960.10/706,440.15 = 282,003.30/x
  3. Step 3: Cross multiply
    470,960.10x = 706,440.15 × 282,003.30
  4. Step 4: Simplify right side
    470,960.10x = 199,218,453,552.50
  5. Step 5: Solve for x
    x = 199,218,453,552.50/470,960.10
  6. Step 6: Final answer
    x = 423,004.95

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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.