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Finding the Fourth Proportional to 548,233, 822,470.46 and 232,959.40

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Solution

The fourth proportional to 548,233, 822,470.46 and 232,959.40 is: 349,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,233 : 822,470.46 = 232,959.40 : x
  2. Step 2: Convert to fraction form
    548,233/822,470.46 = 232,959.40/x
  3. Step 3: Cross multiply
    548,233x = 822,470.46 × 232,959.40
  4. Step 4: Simplify right side
    548,233x = 191,602,224,879.32
  5. Step 5: Solve for x
    x = 191,602,224,879.32/548,233
  6. Step 6: Final answer
    x = 349,490.50

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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.