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Finding the Fourth Proportional to 548,222, 822,453.96 and 232,948.40

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Solution

The fourth proportional to 548,222, 822,453.96 and 232,948.40 is: 349,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,222 : 822,453.96 = 232,948.40 : x
  2. Step 2: Convert to fraction form
    548,222/822,453.96 = 232,948.40/x
  3. Step 3: Cross multiply
    548,222x = 822,453.96 × 232,948.40
  4. Step 4: Simplify right side
    548,222x = 191,589,334,055.66
  5. Step 5: Solve for x
    x = 191,589,334,055.66/548,222
  6. Step 6: Final answer
    x = 349,474.00

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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.