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Finding the Fourth Proportional to 524,913.66, 724,403.82 and 295,485.78

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Solution

The fourth proportional to 524,913.66, 724,403.82 and 295,485.78 is: 407,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,913.66 : 724,403.82 = 295,485.78 : x
  2. Step 2: Convert to fraction form
    524,913.66/724,403.82 = 295,485.78/x
  3. Step 3: Cross multiply
    524,913.66x = 724,403.82 × 295,485.78
  4. Step 4: Simplify right side
    524,913.66x = 214,051,027,787.68
  5. Step 5: Solve for x
    x = 214,051,027,787.68/524,913.66
  6. Step 6: Final answer
    x = 407,783.31

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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.