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Finding the Fourth Proportional to 433,326.51, 650,004.15 and 149,014.26

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Solution

The fourth proportional to 433,326.51, 650,004.15 and 149,014.26 is: 223,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,326.51 : 650,004.15 = 149,014.26 : x
  2. Step 2: Convert to fraction form
    433,326.51/650,004.15 = 149,014.26/x
  3. Step 3: Cross multiply
    433,326.51x = 650,004.15 × 149,014.26
  4. Step 4: Simplify right side
    433,326.51x = 96,859,887,409.18
  5. Step 5: Solve for x
    x = 96,859,887,409.18/433,326.51
  6. Step 6: Final answer
    x = 223,526.34

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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.