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Finding the Fourth Proportional to 505,059.84, 696,980.16 and 278,719.20

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Solution

The fourth proportional to 505,059.84, 696,980.16 and 278,719.20 is: 384,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,059.84 : 696,980.16 = 278,719.20 : x
  2. Step 2: Convert to fraction form
    505,059.84/696,980.16 = 278,719.20/x
  3. Step 3: Cross multiply
    505,059.84x = 696,980.16 × 278,719.20
  4. Step 4: Simplify right side
    505,059.84x = 194,261,752,611.07
  5. Step 5: Solve for x
    x = 194,261,752,611.07/505,059.84
  6. Step 6: Final answer
    x = 384,631.16

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1.5x scale

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.