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Finding the Fourth Proportional to 405,857.21, 608,315.25 and 152,975.76

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Solution

The fourth proportional to 405,857.21, 608,315.25 and 152,975.76 is: 229,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,857.21 : 608,315.25 = 152,975.76 : x
  2. Step 2: Convert to fraction form
    405,857.21/608,315.25 = 152,975.76/x
  3. Step 3: Cross multiply
    405,857.21x = 608,315.25 × 152,975.76
  4. Step 4: Simplify right side
    405,857.21x = 93,057,487,688.34
  5. Step 5: Solve for x
    x = 93,057,487,688.34/405,857.21
  6. Step 6: Final answer
    x = 229,286.28

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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.