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Finding the Fourth Proportional to 546,943.20, 820,409.40 and 172,966.20

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Solution

The fourth proportional to 546,943.20, 820,409.40 and 172,966.20 is: 259,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,943.20 : 820,409.40 = 172,966.20 : x
  2. Step 2: Convert to fraction form
    546,943.20/820,409.40 = 172,966.20/x
  3. Step 3: Cross multiply
    546,943.20x = 820,409.40 × 172,966.20
  4. Step 4: Simplify right side
    546,943.20x = 141,903,096,362.28
  5. Step 5: Solve for x
    x = 141,903,096,362.28/546,943.20
  6. Step 6: Final answer
    x = 259,447.59

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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.