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Finding the Fourth Proportional to 346,713, 519,796.94 and 232,976.25

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Solution

The fourth proportional to 346,713, 519,796.94 and 232,976.25 is: 349,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,713 : 519,796.94 = 232,976.25 : x
  2. Step 2: Convert to fraction form
    346,713/519,796.94 = 232,976.25/x
  3. Step 3: Cross multiply
    346,713x = 519,796.94 × 232,976.25
  4. Step 4: Simplify right side
    346,713x = 121,100,340,677.79
  5. Step 5: Solve for x
    x = 121,100,340,677.79/346,713
  6. Step 6: Final answer
    x = 349,281.22

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Why These Related Problems?

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