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Finding the Fourth Proportional to 525,119, 724,664.22 and 286,655

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Solution

The fourth proportional to 525,119, 724,664.22 and 286,655 is: 395,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,119 : 724,664.22 = 286,655 : x
  2. Step 2: Convert to fraction form
    525,119/724,664.22 = 286,655/x
  3. Step 3: Cross multiply
    525,119x = 724,664.22 × 286,655
  4. Step 4: Simplify right side
    525,119x = 207,728,621,984.10
  5. Step 5: Solve for x
    x = 207,728,621,984.10/525,119
  6. Step 6: Final answer
    x = 395,583.90

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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.