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Finding the Fourth Proportional to 553,506, 830,259 and 179,529

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Solution

The fourth proportional to 553,506, 830,259 and 179,529 is: 269,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,506 : 830,259 = 179,529 : x
  2. Step 2: Convert to fraction form
    553,506/830,259 = 179,529/x
  3. Step 3: Cross multiply
    553,506x = 830,259 × 179,529
  4. Step 4: Simplify right side
    553,506x = 149,055,568,011
  5. Step 5: Solve for x
    x = 149,055,568,011/553,506
  6. Step 6: Final answer
    x = 269,293.50

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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.