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Finding the Fourth Proportional to 505,066.14, 696,987.84 and 278,711.64

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Solution

The fourth proportional to 505,066.14, 696,987.84 and 278,711.64 is: 384,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,066.14 : 696,987.84 = 278,711.64 : x
  2. Step 2: Convert to fraction form
    505,066.14/696,987.84 = 278,711.64/x
  3. Step 3: Cross multiply
    505,066.14x = 696,987.84 × 278,711.64
  4. Step 4: Simplify right side
    505,066.14x = 194,258,623,946.46
  5. Step 5: Solve for x
    x = 194,258,623,946.46/505,066.14
  6. Step 6: Final answer
    x = 384,620.17

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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.