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Finding the Fourth Proportional to 405,765.48, 608,529.25 and 152,863.50

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Solution

The fourth proportional to 405,765.48, 608,529.25 and 152,863.50 is: 229,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,765.48 : 608,529.25 = 152,863.50 : x
  2. Step 2: Convert to fraction form
    405,765.48/608,529.25 = 152,863.50/x
  3. Step 3: Cross multiply
    405,765.48x = 608,529.25 × 152,863.50
  4. Step 4: Simplify right side
    405,765.48x = 93,021,911,007.38
  5. Step 5: Solve for x
    x = 93,021,911,007.38/405,765.48
  6. Step 6: Final answer
    x = 229,250.43

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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.