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Finding the Fourth Proportional to 458,356.36, 686,831.28 and 191,971.12

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Solution

The fourth proportional to 458,356.36, 686,831.28 and 191,971.12 is: 287,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,356.36 : 686,831.28 = 191,971.12 : x
  2. Step 2: Convert to fraction form
    458,356.36/686,831.28 = 191,971.12/x
  3. Step 3: Cross multiply
    458,356.36x = 686,831.28 × 191,971.12
  4. Step 4: Simplify right side
    458,356.36x = 131,851,770,072.63
  5. Step 5: Solve for x
    x = 131,851,770,072.63/458,356.36
  6. Step 6: Final answer
    x = 287,662.14

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1.5x scale

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.