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Finding the Fourth Proportional to 505,191.36, 697,159.62 and 278,832

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Solution

The fourth proportional to 505,191.36, 697,159.62 and 278,832 is: 384,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,191.36 : 697,159.62 = 278,832 : x
  2. Step 2: Convert to fraction form
    505,191.36/697,159.62 = 278,832/x
  3. Step 3: Cross multiply
    505,191.36x = 697,159.62 × 278,832
  4. Step 4: Simplify right side
    505,191.36x = 194,390,411,163.84
  5. Step 5: Solve for x
    x = 194,390,411,163.84/505,191.36
  6. Step 6: Final answer
    x = 384,785.70

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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.