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Finding the Fourth Proportional to 456,412.80, 684,619.20 and 190,084.80

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Solution

The fourth proportional to 456,412.80, 684,619.20 and 190,084.80 is: 285,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,412.80 : 684,619.20 = 190,084.80 : x
  2. Step 2: Convert to fraction form
    456,412.80/684,619.20 = 190,084.80/x
  3. Step 3: Cross multiply
    456,412.80x = 684,619.20 × 190,084.80
  4. Step 4: Simplify right side
    456,412.80x = 130,135,703,708.16
  5. Step 5: Solve for x
    x = 130,135,703,708.16/456,412.80
  6. Step 6: Final answer
    x = 285,127.20

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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.