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Finding the Fourth Proportional to 469,515.96, 704,329.83 and 149,555.50

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Solution

The fourth proportional to 469,515.96, 704,329.83 and 149,555.50 is: 224,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,515.96 : 704,329.83 = 149,555.50 : x
  2. Step 2: Convert to fraction form
    469,515.96/704,329.83 = 149,555.50/x
  3. Step 3: Cross multiply
    469,515.96x = 704,329.83 × 149,555.50
  4. Step 4: Simplify right side
    469,515.96x = 105,336,398,129.74
  5. Step 5: Solve for x
    x = 105,336,398,129.74/469,515.96
  6. Step 6: Final answer
    x = 224,351.05

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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.