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Finding the Fourth Proportional to 553,504, 830,256 and 179,527

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Solution

The fourth proportional to 553,504, 830,256 and 179,527 is: 269,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,504 : 830,256 = 179,527 : x
  2. Step 2: Convert to fraction form
    553,504/830,256 = 179,527/x
  3. Step 3: Cross multiply
    553,504x = 830,256 × 179,527
  4. Step 4: Simplify right side
    553,504x = 149,053,368,912
  5. Step 5: Solve for x
    x = 149,053,368,912/553,504
  6. Step 6: Final answer
    x = 269,290.50

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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.