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Finding the Fourth Proportional to 525,698.80, 788,461.80 and 146,645.44

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Solution

The fourth proportional to 525,698.80, 788,461.80 and 146,645.44 is: 219,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,698.80 : 788,461.80 = 146,645.44 : x
  2. Step 2: Convert to fraction form
    525,698.80/788,461.80 = 146,645.44/x
  3. Step 3: Cross multiply
    525,698.80x = 788,461.80 × 146,645.44
  4. Step 4: Simplify right side
    525,698.80x = 115,624,327,584.19
  5. Step 5: Solve for x
    x = 115,624,327,584.19/525,698.80
  6. Step 6: Final answer
    x = 219,944.06

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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.