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Finding the Fourth Proportional to 340,836, 470,356.96 and 187,880.08

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Solution

The fourth proportional to 340,836, 470,356.96 and 187,880.08 is: 259,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,836 : 470,356.96 = 187,880.08 : x
  2. Step 2: Convert to fraction form
    340,836/470,356.96 = 187,880.08/x
  3. Step 3: Cross multiply
    340,836x = 470,356.96 × 187,880.08
  4. Step 4: Simplify right side
    340,836x = 88,370,703,273.36
  5. Step 5: Solve for x
    x = 88,370,703,273.36/340,836
  6. Step 6: Final answer
    x = 259,276.32

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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.