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Finding the Fourth Proportional to 524,765.46, 724,047.84 and 295,278

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Solution

The fourth proportional to 524,765.46, 724,047.84 and 295,278 is: 407,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,765.46 : 724,047.84 = 295,278 : x
  2. Step 2: Convert to fraction form
    524,765.46/724,047.84 = 295,278/x
  3. Step 3: Cross multiply
    524,765.46x = 724,047.84 × 295,278
  4. Step 4: Simplify right side
    524,765.46x = 213,795,398,099.52
  5. Step 5: Solve for x
    x = 213,795,398,099.52/524,765.46
  6. Step 6: Final answer
    x = 407,411.34

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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.