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Finding the Fourth Proportional to 427,021.34, 588,907.70 and 354,309.06

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Solution

The fourth proportional to 427,021.34, 588,907.70 and 354,309.06 is: 488,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,021.34 : 588,907.70 = 354,309.06 : x
  2. Step 2: Convert to fraction form
    427,021.34/588,907.70 = 354,309.06/x
  3. Step 3: Cross multiply
    427,021.34x = 588,907.70 × 354,309.06
  4. Step 4: Simplify right side
    427,021.34x = 208,655,333,613.76
  5. Step 5: Solve for x
    x = 208,655,333,613.76/427,021.34
  6. Step 6: Final answer
    x = 488,629.76

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