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Finding the Fourth Proportional to 645,155.30, 966,858.15 and 431,315.30

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Solution

The fourth proportional to 645,155.30, 966,858.15 and 431,315.30 is: 646,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,155.30 : 966,858.15 = 431,315.30 : x
  2. Step 2: Convert to fraction form
    645,155.30/966,858.15 = 431,315.30/x
  3. Step 3: Cross multiply
    645,155.30x = 966,858.15 × 431,315.30
  4. Step 4: Simplify right side
    645,155.30x = 417,020,713,024.70
  5. Step 5: Solve for x
    x = 417,020,713,024.70/645,155.30
  6. Step 6: Final answer
    x = 646,388.11

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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.