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Finding the Fourth Proportional to 525,695.40, 788,658.30 and 259,583.40

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Solution

The fourth proportional to 525,695.40, 788,658.30 and 259,583.40 is: 389,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,695.40 : 788,658.30 = 259,583.40 : x
  2. Step 2: Convert to fraction form
    525,695.40/788,658.30 = 259,583.40/x
  3. Step 3: Cross multiply
    525,695.40x = 788,658.30 × 259,583.40
  4. Step 4: Simplify right side
    525,695.40x = 204,722,602,952.22
  5. Step 5: Solve for x
    x = 204,722,602,952.22/525,695.40
  6. Step 6: Final answer
    x = 389,431.98

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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.