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Finding the Fourth Proportional to 517,055.12, 775,164.30 and 232,537.30

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Solution

The fourth proportional to 517,055.12, 775,164.30 and 232,537.30 is: 348,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,055.12 : 775,164.30 = 232,537.30 : x
  2. Step 2: Convert to fraction form
    517,055.12/775,164.30 = 232,537.30/x
  3. Step 3: Cross multiply
    517,055.12x = 775,164.30 × 232,537.30
  4. Step 4: Simplify right side
    517,055.12x = 180,254,613,378.39
  5. Step 5: Solve for x
    x = 180,254,613,378.39/517,055.12
  6. Step 6: Final answer
    x = 348,617.79

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Why These Related Problems?

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