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Finding the Fourth Proportional to 553,008.54, 829,512.81 and 316,185.14

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Solution

The fourth proportional to 553,008.54, 829,512.81 and 316,185.14 is: 474,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,008.54 : 829,512.81 = 316,185.14 : x
  2. Step 2: Convert to fraction form
    553,008.54/829,512.81 = 316,185.14/x
  3. Step 3: Cross multiply
    553,008.54x = 829,512.81 × 316,185.14
  4. Step 4: Simplify right side
    553,008.54x = 262,279,624,849.73
  5. Step 5: Solve for x
    x = 262,279,624,849.73/553,008.54
  6. Step 6: Final answer
    x = 474,277.71

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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.