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Finding the Fourth Proportional to 405,598.84, 607,969.23 and 152,769.94

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Solution

The fourth proportional to 405,598.84, 607,969.23 and 152,769.94 is: 228,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,598.84 : 607,969.23 = 152,769.94 : x
  2. Step 2: Convert to fraction form
    405,598.84/607,969.23 = 152,769.94/x
  3. Step 3: Cross multiply
    405,598.84x = 607,969.23 × 152,769.94
  4. Step 4: Simplify right side
    405,598.84x = 92,879,420,505.17
  5. Step 5: Solve for x
    x = 92,879,420,505.17/405,598.84
  6. Step 6: Final answer
    x = 228,993.31

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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.