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Finding the Fourth Proportional to 456,007.65, 684,084.99 and 140,464.26

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Solution

The fourth proportional to 456,007.65, 684,084.99 and 140,464.26 is: 210,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,007.65 : 684,084.99 = 140,464.26 : x
  2. Step 2: Convert to fraction form
    456,007.65/684,084.99 = 140,464.26/x
  3. Step 3: Cross multiply
    456,007.65x = 684,084.99 × 140,464.26
  4. Step 4: Simplify right side
    456,007.65x = 96,089,491,897.46
  5. Step 5: Solve for x
    x = 96,089,491,897.46/456,007.65
  6. Step 6: Final answer
    x = 210,719.03

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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.