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Finding the Fourth Proportional to 511,463.32, 705,857.79 and 296,601.52

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Solution

The fourth proportional to 511,463.32, 705,857.79 and 296,601.52 is: 409,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,463.32 : 705,857.79 = 296,601.52 : x
  2. Step 2: Convert to fraction form
    511,463.32/705,857.79 = 296,601.52/x
  3. Step 3: Cross multiply
    511,463.32x = 705,857.79 × 296,601.52
  4. Step 4: Simplify right side
    511,463.32x = 209,358,493,417.84
  5. Step 5: Solve for x
    x = 209,358,493,417.84/511,463.32
  6. Step 6: Final answer
    x = 409,332.37

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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.