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Finding the Fourth Proportional to 286,840.59, 430,066.77 and 160,568.02

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Solution

The fourth proportional to 286,840.59, 430,066.77 and 160,568.02 is: 240,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,840.59 : 430,066.77 = 160,568.02 : x
  2. Step 2: Convert to fraction form
    286,840.59/430,066.77 = 160,568.02/x
  3. Step 3: Cross multiply
    286,840.59x = 430,066.77 × 160,568.02
  4. Step 4: Simplify right side
    286,840.59x = 69,054,969,662.15
  5. Step 5: Solve for x
    x = 69,054,969,662.15/286,840.59
  6. Step 6: Final answer
    x = 240,743.37

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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.