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Finding the Fourth Proportional to 284,113.37, 392,223.86 and 207,546.50

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Solution

The fourth proportional to 284,113.37, 392,223.86 and 207,546.50 is: 286,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,113.37 : 392,223.86 = 207,546.50 : x
  2. Step 2: Convert to fraction form
    284,113.37/392,223.86 = 207,546.50/x
  3. Step 3: Cross multiply
    284,113.37x = 392,223.86 × 207,546.50
  4. Step 4: Simplify right side
    284,113.37x = 81,404,689,359.49
  5. Step 5: Solve for x
    x = 81,404,689,359.49/284,113.37
  6. Step 6: Final answer
    x = 286,521.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.