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Finding the Fourth Proportional to 547,588.56, 756,411.84 and 412,642.56

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Solution

The fourth proportional to 547,588.56, 756,411.84 and 412,642.56 is: 570,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,588.56 : 756,411.84 = 412,642.56 : x
  2. Step 2: Convert to fraction form
    547,588.56/756,411.84 = 412,642.56/x
  3. Step 3: Cross multiply
    547,588.56x = 756,411.84 × 412,642.56
  4. Step 4: Simplify right side
    547,588.56x = 312,127,718,071.91
  5. Step 5: Solve for x
    x = 312,127,718,071.91/547,588.56
  6. Step 6: Final answer
    x = 570,004.09

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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.