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Finding the Fourth Proportional to 469,740.94, 704,266.36 and 149,708.68

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Solution

The fourth proportional to 469,740.94, 704,266.36 and 149,708.68 is: 224,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,740.94 : 704,266.36 = 149,708.68 : x
  2. Step 2: Convert to fraction form
    469,740.94/704,266.36 = 149,708.68/x
  3. Step 3: Cross multiply
    469,740.94x = 704,266.36 × 149,708.68
  4. Step 4: Simplify right side
    469,740.94x = 105,434,787,124.01
  5. Step 5: Solve for x
    x = 105,434,787,124.01/469,740.94
  6. Step 6: Final answer
    x = 224,453.05

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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.