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Finding the Fourth Proportional to 309,624, 464,047.44 and 167,463.60

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Solution

The fourth proportional to 309,624, 464,047.44 and 167,463.60 is: 250,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,624 : 464,047.44 = 167,463.60 : x
  2. Step 2: Convert to fraction form
    309,624/464,047.44 = 167,463.60/x
  3. Step 3: Cross multiply
    309,624x = 464,047.44 × 167,463.60
  4. Step 4: Simplify right side
    309,624x = 77,711,054,873.18
  5. Step 5: Solve for x
    x = 77,711,054,873.18/309,624
  6. Step 6: Final answer
    x = 250,985.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.