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Finding the Fourth Proportional to 314,766.84, 471,806.64 and 154,952.76

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Solution

The fourth proportional to 314,766.84, 471,806.64 and 154,952.76 is: 232,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,766.84 : 471,806.64 = 154,952.76 : x
  2. Step 2: Convert to fraction form
    314,766.84/471,806.64 = 154,952.76/x
  3. Step 3: Cross multiply
    314,766.84x = 471,806.64 × 154,952.76
  4. Step 4: Simplify right side
    314,766.84x = 73,107,741,054.33
  5. Step 5: Solve for x
    x = 73,107,741,054.33/314,766.84
  6. Step 6: Final answer
    x = 232,259.98

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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.