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Finding the Fourth Proportional to 525,384.44, 788,097.42 and 146,338.30

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Solution

The fourth proportional to 525,384.44, 788,097.42 and 146,338.30 is: 219,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,384.44 : 788,097.42 = 146,338.30 : x
  2. Step 2: Convert to fraction form
    525,384.44/788,097.42 = 146,338.30/x
  3. Step 3: Cross multiply
    525,384.44x = 788,097.42 × 146,338.30
  4. Step 4: Simplify right side
    525,384.44x = 115,328,836,468.43
  5. Step 5: Solve for x
    x = 115,328,836,468.43/525,384.44
  6. Step 6: Final answer
    x = 219,513.23

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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.