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Finding the Fourth Proportional to 588,393, 882,589.53 and 411,246

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Solution

The fourth proportional to 588,393, 882,589.53 and 411,246 is: 616,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,393 : 882,589.53 = 411,246 : x
  2. Step 2: Convert to fraction form
    588,393/882,589.53 = 411,246/x
  3. Step 3: Cross multiply
    588,393x = 882,589.53 × 411,246
  4. Step 4: Simplify right side
    588,393x = 362,961,413,854.38
  5. Step 5: Solve for x
    x = 362,961,413,854.38/588,393
  6. Step 6: Final answer
    x = 616,869.02

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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.