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Finding the Fourth Proportional to 702,816.68, 969,824.54 and 416,290.52

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Solution

The fourth proportional to 702,816.68, 969,824.54 and 416,290.52 is: 574,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,816.68 : 969,824.54 = 416,290.52 : x
  2. Step 2: Convert to fraction form
    702,816.68/969,824.54 = 416,290.52/x
  3. Step 3: Cross multiply
    702,816.68x = 969,824.54 × 416,290.52
  4. Step 4: Simplify right side
    702,816.68x = 403,728,762,065.36
  5. Step 5: Solve for x
    x = 403,728,762,065.36/702,816.68
  6. Step 6: Final answer
    x = 574,443.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.