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Finding the Fourth Proportional to 456,200.70, 684,009.45 and 190,067.10

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Solution

The fourth proportional to 456,200.70, 684,009.45 and 190,067.10 is: 284,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,200.70 : 684,009.45 = 190,067.10 : x
  2. Step 2: Convert to fraction form
    456,200.70/684,009.45 = 190,067.10/x
  3. Step 3: Cross multiply
    456,200.70x = 684,009.45 × 190,067.10
  4. Step 4: Simplify right side
    456,200.70x = 130,007,692,534.10
  5. Step 5: Solve for x
    x = 130,007,692,534.10/456,200.70
  6. Step 6: Final answer
    x = 284,979.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.