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Finding the Fourth Proportional to 341,228.74, 470,905.77 and 190,322.50

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Solution

The fourth proportional to 341,228.74, 470,905.77 and 190,322.50 is: 262,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,228.74 : 470,905.77 = 190,322.50 : x
  2. Step 2: Convert to fraction form
    341,228.74/470,905.77 = 190,322.50/x
  3. Step 3: Cross multiply
    341,228.74x = 470,905.77 × 190,322.50
  4. Step 4: Simplify right side
    341,228.74x = 89,623,963,410.83
  5. Step 5: Solve for x
    x = 89,623,963,410.83/341,228.74
  6. Step 6: Final answer
    x = 262,650.69

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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.