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Finding the Fourth Proportional to 470,013.63, 648,619.61 and 268,809.63

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Solution

The fourth proportional to 470,013.63, 648,619.61 and 268,809.63 is: 370,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,013.63 : 648,619.61 = 268,809.63 : x
  2. Step 2: Convert to fraction form
    470,013.63/648,619.61 = 268,809.63/x
  3. Step 3: Cross multiply
    470,013.63x = 648,619.61 × 268,809.63
  4. Step 4: Simplify right side
    470,013.63x = 174,355,197,374.84
  5. Step 5: Solve for x
    x = 174,355,197,374.84/470,013.63
  6. Step 6: Final answer
    x = 370,957.75

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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.