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Finding the Fourth Proportional to 472,817.20, 652,463.76 and 257,955.52

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Solution

The fourth proportional to 472,817.20, 652,463.76 and 257,955.52 is: 355,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,817.20 : 652,463.76 = 257,955.52 : x
  2. Step 2: Convert to fraction form
    472,817.20/652,463.76 = 257,955.52/x
  3. Step 3: Cross multiply
    472,817.20x = 652,463.76 × 257,955.52
  4. Step 4: Simplify right side
    472,817.20x = 168,306,628,491.96
  5. Step 5: Solve for x
    x = 168,306,628,491.96/472,817.20
  6. Step 6: Final answer
    x = 355,965.54

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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.