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Finding the Fourth Proportional to 586,703.14, 809,511.57 and 332,054.33

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Solution

The fourth proportional to 586,703.14, 809,511.57 and 332,054.33 is: 458,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,703.14 : 809,511.57 = 332,054.33 : x
  2. Step 2: Convert to fraction form
    586,703.14/809,511.57 = 332,054.33/x
  3. Step 3: Cross multiply
    586,703.14x = 809,511.57 × 332,054.33
  4. Step 4: Simplify right side
    586,703.14x = 268,801,817,956.04
  5. Step 5: Solve for x
    x = 268,801,817,956.04/586,703.14
  6. Step 6: Final answer
    x = 458,156.44

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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.