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Finding the Fourth Proportional to 405,447.15, 608,473.67 and 152,976.63

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Solution

The fourth proportional to 405,447.15, 608,473.67 and 152,976.63 is: 229,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,447.15 : 608,473.67 = 152,976.63 : x
  2. Step 2: Convert to fraction form
    405,447.15/608,473.67 = 152,976.63/x
  3. Step 3: Cross multiply
    405,447.15x = 608,473.67 × 152,976.63
  4. Step 4: Simplify right side
    405,447.15x = 93,082,250,715.45
  5. Step 5: Solve for x
    x = 93,082,250,715.45/405,447.15
  6. Step 6: Final answer
    x = 229,579.25

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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.