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Finding the Fourth Proportional to 310,559.39, 465,506.93 and 141,826.88

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Solution

The fourth proportional to 310,559.39, 465,506.93 and 141,826.88 is: 212,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,559.39 : 465,506.93 = 141,826.88 : x
  2. Step 2: Convert to fraction form
    310,559.39/465,506.93 = 141,826.88/x
  3. Step 3: Cross multiply
    310,559.39x = 465,506.93 × 141,826.88
  4. Step 4: Simplify right side
    310,559.39x = 66,021,393,527.31
  5. Step 5: Solve for x
    x = 66,021,393,527.31/310,559.39
  6. Step 6: Final answer
    x = 212,588.62

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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.