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Finding the Fourth Proportional to 505,156.51, 697,112.56 and 278,802.01

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Solution

The fourth proportional to 505,156.51, 697,112.56 and 278,802.01 is: 384,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,156.51 : 697,112.56 = 278,802.01 : x
  2. Step 2: Convert to fraction form
    505,156.51/697,112.56 = 278,802.01/x
  3. Step 3: Cross multiply
    505,156.51x = 697,112.56 × 278,802.01
  4. Step 4: Simplify right side
    505,156.51x = 194,356,382,924.25
  5. Step 5: Solve for x
    x = 194,356,382,924.25/505,156.51
  6. Step 6: Final answer
    x = 384,744.88

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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.