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Finding the Fourth Proportional to 524,858.38, 724,653.17 and 403,786.06

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Solution

The fourth proportional to 524,858.38, 724,653.17 and 403,786.06 is: 557,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,858.38 : 724,653.17 = 403,786.06 : x
  2. Step 2: Convert to fraction form
    524,858.38/724,653.17 = 403,786.06/x
  3. Step 3: Cross multiply
    524,858.38x = 724,653.17 × 403,786.06
  4. Step 4: Simplify right side
    524,858.38x = 292,604,846,064.45
  5. Step 5: Solve for x
    x = 292,604,846,064.45/524,858.38
  6. Step 6: Final answer
    x = 557,492.95

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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.