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Finding the Fourth Proportional to 516,231.12, 712,566 and 334,622.64

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Solution

The fourth proportional to 516,231.12, 712,566 and 334,622.64 is: 461,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,231.12 : 712,566 = 334,622.64 : x
  2. Step 2: Convert to fraction form
    516,231.12/712,566 = 334,622.64/x
  3. Step 3: Cross multiply
    516,231.12x = 712,566 × 334,622.64
  4. Step 4: Simplify right side
    516,231.12x = 238,440,716,094.24
  5. Step 5: Solve for x
    x = 238,440,716,094.24/516,231.12
  6. Step 6: Final answer
    x = 461,887.53

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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.