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Finding the Fourth Proportional to 482,523.76, 723,835.32 and 166,980.16

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Solution

The fourth proportional to 482,523.76, 723,835.32 and 166,980.16 is: 250,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,523.76 : 723,835.32 = 166,980.16 : x
  2. Step 2: Convert to fraction form
    482,523.76/723,835.32 = 166,980.16/x
  3. Step 3: Cross multiply
    482,523.76x = 723,835.32 × 166,980.16
  4. Step 4: Simplify right side
    482,523.76x = 120,866,137,547.25
  5. Step 5: Solve for x
    x = 120,866,137,547.25/482,523.76
  6. Step 6: Final answer
    x = 250,487.43

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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.