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Finding the Fourth Proportional to 433,716.48, 650,412.92 and 149,326.70

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Solution

The fourth proportional to 433,716.48, 650,412.92 and 149,326.70 is: 223,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,716.48 : 650,412.92 = 149,326.70 : x
  2. Step 2: Convert to fraction form
    433,716.48/650,412.92 = 149,326.70/x
  3. Step 3: Cross multiply
    433,716.48x = 650,412.92 × 149,326.70
  4. Step 4: Simplify right side
    433,716.48x = 97,124,014,980.96
  5. Step 5: Solve for x
    x = 97,124,014,980.96/433,716.48
  6. Step 6: Final answer
    x = 223,934.34

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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.