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Finding the Fourth Proportional to 516,446.64, 712,690.80 and 301,620.06

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Solution

The fourth proportional to 516,446.64, 712,690.80 and 301,620.06 is: 416,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,446.64 : 712,690.80 = 301,620.06 : x
  2. Step 2: Convert to fraction form
    516,446.64/712,690.80 = 301,620.06/x
  3. Step 3: Cross multiply
    516,446.64x = 712,690.80 × 301,620.06
  4. Step 4: Simplify right side
    516,446.64x = 214,961,841,857.45
  5. Step 5: Solve for x
    x = 214,961,841,857.45/516,446.64
  6. Step 6: Final answer
    x = 416,232.43

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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.