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Finding the Fourth Proportional to 471,688.38, 650,921.54 and 256,824.54

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Solution

The fourth proportional to 471,688.38, 650,921.54 and 256,824.54 is: 354,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,688.38 : 650,921.54 = 256,824.54 : x
  2. Step 2: Convert to fraction form
    471,688.38/650,921.54 = 256,824.54/x
  3. Step 3: Cross multiply
    471,688.38x = 650,921.54 × 256,824.54
  4. Step 4: Simplify right side
    471,688.38x = 167,172,623,802.47
  5. Step 5: Solve for x
    x = 167,172,623,802.47/471,688.38
  6. Step 6: Final answer
    x = 354,413.28

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1.5x scale

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.