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Finding the Fourth Proportional to 548,194.96, 822,707.88 and 232,873.12

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Solution

The fourth proportional to 548,194.96, 822,707.88 and 232,873.12 is: 349,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,194.96 : 822,707.88 = 232,873.12 : x
  2. Step 2: Convert to fraction form
    548,194.96/822,707.88 = 232,873.12/x
  3. Step 3: Cross multiply
    548,194.96x = 822,707.88 × 232,873.12
  4. Step 4: Simplify right side
    548,194.96x = 191,586,550,864.19
  5. Step 5: Solve for x
    x = 191,586,550,864.19/548,194.96
  6. Step 6: Final answer
    x = 349,486.16

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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.