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Finding the Fourth Proportional to 687,496.14, 948,730.38 and 381,554.58

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Solution

The fourth proportional to 687,496.14, 948,730.38 and 381,554.58 is: 526,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,496.14 : 948,730.38 = 381,554.58 : x
  2. Step 2: Convert to fraction form
    687,496.14/948,730.38 = 381,554.58/x
  3. Step 3: Cross multiply
    687,496.14x = 948,730.38 × 381,554.58
  4. Step 4: Simplify right side
    687,496.14x = 361,992,421,674.14
  5. Step 5: Solve for x
    x = 361,992,421,674.14/687,496.14
  6. Step 6: Final answer
    x = 526,537.39

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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.