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Finding the Fourth Proportional to 305,345.36, 457,682.70 and 127,965.08

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Solution

The fourth proportional to 305,345.36, 457,682.70 and 127,965.08 is: 191,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,345.36 : 457,682.70 = 127,965.08 : x
  2. Step 2: Convert to fraction form
    305,345.36/457,682.70 = 127,965.08/x
  3. Step 3: Cross multiply
    305,345.36x = 457,682.70 × 127,965.08
  4. Step 4: Simplify right side
    305,345.36x = 58,567,403,320.12
  5. Step 5: Solve for x
    x = 58,567,403,320.12/305,345.36
  6. Step 6: Final answer
    x = 191,807.08

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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.