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Finding the Fourth Proportional to 456,482.23, 684,589.50 and 171,967.50

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Solution

The fourth proportional to 456,482.23, 684,589.50 and 171,967.50 is: 257,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,482.23 : 684,589.50 = 171,967.50 : x
  2. Step 2: Convert to fraction form
    456,482.23/684,589.50 = 171,967.50/x
  3. Step 3: Cross multiply
    456,482.23x = 684,589.50 × 171,967.50
  4. Step 4: Simplify right side
    456,482.23x = 117,727,144,841.25
  5. Step 5: Solve for x
    x = 117,727,144,841.25/456,482.23
  6. Step 6: Final answer
    x = 257,900.83

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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.