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Finding the Fourth Proportional to 411,363.10, 617,044.65 and 328,419.10

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Solution

The fourth proportional to 411,363.10, 617,044.65 and 328,419.10 is: 492,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,363.10 : 617,044.65 = 328,419.10 : x
  2. Step 2: Convert to fraction form
    411,363.10/617,044.65 = 328,419.10/x
  3. Step 3: Cross multiply
    411,363.10x = 617,044.65 × 328,419.10
  4. Step 4: Simplify right side
    411,363.10x = 202,649,248,612.82
  5. Step 5: Solve for x
    x = 202,649,248,612.82/411,363.10
  6. Step 6: Final answer
    x = 492,628.65

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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.