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Finding the Fourth Proportional to 405,577.72, 608,452.24 and 152,852.86

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Solution

The fourth proportional to 405,577.72, 608,452.24 and 152,852.86 is: 229,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,577.72 : 608,452.24 = 152,852.86 : x
  2. Step 2: Convert to fraction form
    405,577.72/608,452.24 = 152,852.86/x
  3. Step 3: Cross multiply
    405,577.72x = 608,452.24 × 152,852.86
  4. Step 4: Simplify right side
    405,577.72x = 93,003,665,057.41
  5. Step 5: Solve for x
    x = 93,003,665,057.41/405,577.72
  6. Step 6: Final answer
    x = 229,311.57

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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.