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Finding the Fourth Proportional to 315,465, 472,964.22 and 190,778.28

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Solution

The fourth proportional to 315,465, 472,964.22 and 190,778.28 is: 286,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,465 : 472,964.22 = 190,778.28 : x
  2. Step 2: Convert to fraction form
    315,465/472,964.22 = 190,778.28/x
  3. Step 3: Cross multiply
    315,465x = 472,964.22 × 190,778.28
  4. Step 4: Simplify right side
    315,465x = 90,231,300,393.14
  5. Step 5: Solve for x
    x = 90,231,300,393.14/315,465
  6. Step 6: Final answer
    x = 286,026.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.