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Finding the Fourth Proportional to 468,707.71, 646,856.47 and 264,796.05

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Solution

The fourth proportional to 468,707.71, 646,856.47 and 264,796.05 is: 365,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,707.71 : 646,856.47 = 264,796.05 : x
  2. Step 2: Convert to fraction form
    468,707.71/646,856.47 = 264,796.05/x
  3. Step 3: Cross multiply
    468,707.71x = 646,856.47 × 264,796.05
  4. Step 4: Simplify right side
    468,707.71x = 171,285,038,172.94
  5. Step 5: Solve for x
    x = 171,285,038,172.94/468,707.71
  6. Step 6: Final answer
    x = 365,441.05

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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.