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Finding the Fourth Proportional to 518,783.43, 778,143.71 and 194,507.53

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Solution

The fourth proportional to 518,783.43, 778,143.71 and 194,507.53 is: 291,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,783.43 : 778,143.71 = 194,507.53 : x
  2. Step 2: Convert to fraction form
    518,783.43/778,143.71 = 194,507.53/x
  3. Step 3: Cross multiply
    518,783.43x = 778,143.71 × 194,507.53
  4. Step 4: Simplify right side
    518,783.43x = 151,354,809,558.05
  5. Step 5: Solve for x
    x = 151,354,809,558.05/518,783.43
  6. Step 6: Final answer
    x = 291,749.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.