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Finding the Fourth Proportional to 506,282.82, 698,662.62 and 276,840.84

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Solution

The fourth proportional to 506,282.82, 698,662.62 and 276,840.84 is: 382,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,282.82 : 698,662.62 = 276,840.84 : x
  2. Step 2: Convert to fraction form
    506,282.82/698,662.62 = 276,840.84/x
  3. Step 3: Cross multiply
    506,282.82x = 698,662.62 × 276,840.84
  4. Step 4: Simplify right side
    506,282.82x = 193,418,346,597.40
  5. Step 5: Solve for x
    x = 193,418,346,597.40/506,282.82
  6. Step 6: Final answer
    x = 382,036.16

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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.