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Finding the Fourth Proportional to 456,505.48, 684,387.18 and 190,464.22

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Solution

The fourth proportional to 456,505.48, 684,387.18 and 190,464.22 is: 285,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,505.48 : 684,387.18 = 190,464.22 : x
  2. Step 2: Convert to fraction form
    456,505.48/684,387.18 = 190,464.22/x
  3. Step 3: Cross multiply
    456,505.48x = 684,387.18 × 190,464.22
  4. Step 4: Simplify right side
    456,505.48x = 130,351,270,416.70
  5. Step 5: Solve for x
    x = 130,351,270,416.70/456,505.48
  6. Step 6: Final answer
    x = 285,541.52

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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.