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Finding the Fourth Proportional to 341,293.16, 470,983.14 and 190,390.28

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Solution

The fourth proportional to 341,293.16, 470,983.14 and 190,390.28 is: 262,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,293.16 : 470,983.14 = 190,390.28 : x
  2. Step 2: Convert to fraction form
    341,293.16/470,983.14 = 190,390.28/x
  3. Step 3: Cross multiply
    341,293.16x = 470,983.14 × 190,390.28
  4. Step 4: Simplify right side
    341,293.16x = 89,670,611,899.88
  5. Step 5: Solve for x
    x = 89,670,611,899.88/341,293.16
  6. Step 6: Final answer
    x = 262,737.79

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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.