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Finding the Fourth Proportional to 529,986.38, 731,314.78 and 358,277.95

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Solution

The fourth proportional to 529,986.38, 731,314.78 and 358,277.95 is: 494,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,986.38 : 731,314.78 = 358,277.95 : x
  2. Step 2: Convert to fraction form
    529,986.38/731,314.78 = 358,277.95/x
  3. Step 3: Cross multiply
    529,986.38x = 731,314.78 × 358,277.95
  4. Step 4: Simplify right side
    529,986.38x = 262,013,954,735.14
  5. Step 5: Solve for x
    x = 262,013,954,735.14/529,986.38
  6. Step 6: Final answer
    x = 494,378.66

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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.