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Finding the Fourth Proportional to 525,294.24, 788,187.48 and 258,909.48

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Solution

The fourth proportional to 525,294.24, 788,187.48 and 258,909.48 is: 388,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,294.24 : 788,187.48 = 258,909.48 : x
  2. Step 2: Convert to fraction form
    525,294.24/788,187.48 = 258,909.48/x
  3. Step 3: Cross multiply
    525,294.24x = 788,187.48 × 258,909.48
  4. Step 4: Simplify right side
    525,294.24x = 204,069,210,589.31
  5. Step 5: Solve for x
    x = 204,069,210,589.31/525,294.24
  6. Step 6: Final answer
    x = 388,485.53

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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.