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Finding the Fourth Proportional to 586,257.76, 809,054.04 and 331,603.84

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Solution

The fourth proportional to 586,257.76, 809,054.04 and 331,603.84 is: 457,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,257.76 : 809,054.04 = 331,603.84 : x
  2. Step 2: Convert to fraction form
    586,257.76/809,054.04 = 331,603.84/x
  3. Step 3: Cross multiply
    586,257.76x = 809,054.04 × 331,603.84
  4. Step 4: Simplify right side
    586,257.76x = 268,285,426,431.51
  5. Step 5: Solve for x
    x = 268,285,426,431.51/586,257.76
  6. Step 6: Final answer
    x = 457,623.67

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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.