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Finding the Fourth Proportional to 820,632.40, 1,230,825.48 and 259,594

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Solution

The fourth proportional to 820,632.40, 1,230,825.48 and 259,594 is: 389,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,632.40 : 1,230,825.48 = 259,594 : x
  2. Step 2: Convert to fraction form
    820,632.40/1,230,825.48 = 259,594/x
  3. Step 3: Cross multiply
    820,632.40x = 1,230,825.48 × 259,594
  4. Step 4: Simplify right side
    820,632.40x = 319,514,909,655.12
  5. Step 5: Solve for x
    x = 319,514,909,655.12/820,632.40
  6. Step 6: Final answer
    x = 389,352.05

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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.