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Finding the Fourth Proportional to 469,106.40, 703,858.86 and 232,453.56

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Solution

The fourth proportional to 469,106.40, 703,858.86 and 232,453.56 is: 348,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,106.40 : 703,858.86 = 232,453.56 : x
  2. Step 2: Convert to fraction form
    469,106.40/703,858.86 = 232,453.56/x
  3. Step 3: Cross multiply
    469,106.40x = 703,858.86 × 232,453.56
  4. Step 4: Simplify right side
    469,106.40x = 163,614,497,744.54
  5. Step 5: Solve for x
    x = 163,614,497,744.54/469,106.40
  6. Step 6: Final answer
    x = 348,779.08

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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.