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Finding the Fourth Proportional to 525,981.17, 725,857.34 and 284,263.18

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Solution

The fourth proportional to 525,981.17, 725,857.34 and 284,263.18 is: 392,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,981.17 : 725,857.34 = 284,263.18 : x
  2. Step 2: Convert to fraction form
    525,981.17/725,857.34 = 284,263.18/x
  3. Step 3: Cross multiply
    525,981.17x = 725,857.34 × 284,263.18
  4. Step 4: Simplify right side
    525,981.17x = 206,334,512,458.78
  5. Step 5: Solve for x
    x = 206,334,512,458.78/525,981.17
  6. Step 6: Final answer
    x = 392,284.98

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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.