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Finding the Fourth Proportional to 581,765.52, 802,825.74 and 323,641.20

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Solution

The fourth proportional to 581,765.52, 802,825.74 and 323,641.20 is: 446,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,765.52 : 802,825.74 = 323,641.20 : x
  2. Step 2: Convert to fraction form
    581,765.52/802,825.74 = 323,641.20/x
  3. Step 3: Cross multiply
    581,765.52x = 802,825.74 × 323,641.20
  4. Step 4: Simplify right side
    581,765.52x = 259,827,485,884.49
  5. Step 5: Solve for x
    x = 259,827,485,884.49/581,765.52
  6. Step 6: Final answer
    x = 446,618.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.