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Finding the Fourth Proportional to 477,186.67, 658,530.21 and 259,410

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Solution

The fourth proportional to 477,186.67, 658,530.21 and 259,410 is: 357,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,186.67 : 658,530.21 = 259,410 : x
  2. Step 2: Convert to fraction form
    477,186.67/658,530.21 = 259,410/x
  3. Step 3: Cross multiply
    477,186.67x = 658,530.21 × 259,410
  4. Step 4: Simplify right side
    477,186.67x = 170,829,321,776.10
  5. Step 5: Solve for x
    x = 170,829,321,776.10/477,186.67
  6. Step 6: Final answer
    x = 357,992.65

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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.