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Finding the Fourth Proportional to 422,030.12, 582,308.45 and 249,862.59

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Solution

The fourth proportional to 422,030.12, 582,308.45 and 249,862.59 is: 344,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,030.12 : 582,308.45 = 249,862.59 : x
  2. Step 2: Convert to fraction form
    422,030.12/582,308.45 = 249,862.59/x
  3. Step 3: Cross multiply
    422,030.12x = 582,308.45 × 249,862.59
  4. Step 4: Simplify right side
    422,030.12x = 145,497,097,495.89
  5. Step 5: Solve for x
    x = 145,497,097,495.89/422,030.12
  6. Step 6: Final answer
    x = 344,755.25

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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.