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Finding the Fourth Proportional to 384,438.98, 576,599.34 and 128,276.12

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Solution

The fourth proportional to 384,438.98, 576,599.34 and 128,276.12 is: 192,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,438.98 : 576,599.34 = 128,276.12 : x
  2. Step 2: Convert to fraction form
    384,438.98/576,599.34 = 128,276.12/x
  3. Step 3: Cross multiply
    384,438.98x = 576,599.34 × 128,276.12
  4. Step 4: Simplify right side
    384,438.98x = 73,963,926,129.76
  5. Step 5: Solve for x
    x = 73,963,926,129.76/384,438.98
  6. Step 6: Final answer
    x = 192,394.45

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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.