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Finding the Fourth Proportional to 287,668.39, 430,977.70 and 160,647.43

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Solution

The fourth proportional to 287,668.39, 430,977.70 and 160,647.43 is: 240,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,668.39 : 430,977.70 = 160,647.43 : x
  2. Step 2: Convert to fraction form
    287,668.39/430,977.70 = 160,647.43/x
  3. Step 3: Cross multiply
    287,668.39x = 430,977.70 × 160,647.43
  4. Step 4: Simplify right side
    287,668.39x = 69,235,459,892.31
  5. Step 5: Solve for x
    x = 69,235,459,892.31/287,668.39
  6. Step 6: Final answer
    x = 240,678.02

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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.