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Finding the Fourth Proportional to 384,039.10, 576,058.65 and 328,051.90

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Solution

The fourth proportional to 384,039.10, 576,058.65 and 328,051.90 is: 492,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,039.10 : 576,058.65 = 328,051.90 : x
  2. Step 2: Convert to fraction form
    384,039.10/576,058.65 = 328,051.90/x
  3. Step 3: Cross multiply
    384,039.10x = 576,058.65 × 328,051.90
  4. Step 4: Simplify right side
    384,039.10x = 188,977,134,643.94
  5. Step 5: Solve for x
    x = 188,977,134,643.94/384,039.10
  6. Step 6: Final answer
    x = 492,077.85

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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.