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Finding the Fourth Proportional to 334,024, 499,780.50 and 234,378.64

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Solution

The fourth proportional to 334,024, 499,780.50 and 234,378.64 is: 350,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,024 : 499,780.50 = 234,378.64 : x
  2. Step 2: Convert to fraction form
    334,024/499,780.50 = 234,378.64/x
  3. Step 3: Cross multiply
    334,024x = 499,780.50 × 234,378.64
  4. Step 4: Simplify right side
    334,024x = 117,137,873,888.52
  5. Step 5: Solve for x
    x = 117,137,873,888.52/334,024
  6. Step 6: Final answer
    x = 350,687.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.