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Finding the Fourth Proportional to 645,124.80, 966,812.40 and 431,284.80

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Solution

The fourth proportional to 645,124.80, 966,812.40 and 431,284.80 is: 646,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,124.80 : 966,812.40 = 431,284.80 : x
  2. Step 2: Convert to fraction form
    645,124.80/966,812.40 = 431,284.80/x
  3. Step 3: Cross multiply
    645,124.80x = 966,812.40 × 431,284.80
  4. Step 4: Simplify right side
    645,124.80x = 416,971,492,571.52
  5. Step 5: Solve for x
    x = 416,971,492,571.52/645,124.80
  6. Step 6: Final answer
    x = 646,342.37

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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.