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Finding the Fourth Proportional to 297,420.50, 410,437.04 and 161,459.30

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Solution

The fourth proportional to 297,420.50, 410,437.04 and 161,459.30 is: 222,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,420.50 : 410,437.04 = 161,459.30 : x
  2. Step 2: Convert to fraction form
    297,420.50/410,437.04 = 161,459.30/x
  3. Step 3: Cross multiply
    297,420.50x = 410,437.04 × 161,459.30
  4. Step 4: Simplify right side
    297,420.50x = 66,268,877,172.47
  5. Step 5: Solve for x
    x = 66,268,877,172.47/297,420.50
  6. Step 6: Final answer
    x = 222,812.07

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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.