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Finding the Fourth Proportional to 546,597.50, 820,034.64 and 386,986.14

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Solution

The fourth proportional to 546,597.50, 820,034.64 and 386,986.14 is: 580,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,597.50 : 820,034.64 = 386,986.14 : x
  2. Step 2: Convert to fraction form
    546,597.50/820,034.64 = 386,986.14/x
  3. Step 3: Cross multiply
    546,597.50x = 820,034.64 × 386,986.14
  4. Step 4: Simplify right side
    546,597.50x = 317,342,039,999.89
  5. Step 5: Solve for x
    x = 317,342,039,999.89/546,597.50
  6. Step 6: Final answer
    x = 580,577.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.