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Finding the Fourth Proportional to 357,254.78, 492,984.51 and 196,084.22

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Solution

The fourth proportional to 357,254.78, 492,984.51 and 196,084.22 is: 270,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,254.78 : 492,984.51 = 196,084.22 : x
  2. Step 2: Convert to fraction form
    357,254.78/492,984.51 = 196,084.22/x
  3. Step 3: Cross multiply
    357,254.78x = 492,984.51 × 196,084.22
  4. Step 4: Simplify right side
    357,254.78x = 96,666,483,115.43
  5. Step 5: Solve for x
    x = 96,666,483,115.43/357,254.78
  6. Step 6: Final answer
    x = 270,581.36

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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.