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Finding the Fourth Proportional to 523,427.70, 784,482.99 and 283,532.43

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Solution

The fourth proportional to 523,427.70, 784,482.99 and 283,532.43 is: 424,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,427.70 : 784,482.99 = 283,532.43 : x
  2. Step 2: Convert to fraction form
    523,427.70/784,482.99 = 283,532.43/x
  3. Step 3: Cross multiply
    523,427.70x = 784,482.99 × 283,532.43
  4. Step 4: Simplify right side
    523,427.70x = 222,426,368,448.37
  5. Step 5: Solve for x
    x = 222,426,368,448.37/523,427.70
  6. Step 6: Final answer
    x = 424,941.91

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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.