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Finding the Fourth Proportional to 297,303.12, 410,276.16 and 161,333.64

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Solution

The fourth proportional to 297,303.12, 410,276.16 and 161,333.64 is: 222,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,303.12 : 410,276.16 = 161,333.64 : x
  2. Step 2: Convert to fraction form
    297,303.12/410,276.16 = 161,333.64/x
  3. Step 3: Cross multiply
    297,303.12x = 410,276.16 × 161,333.64
  4. Step 4: Simplify right side
    297,303.12x = 66,191,346,298.02
  5. Step 5: Solve for x
    x = 66,191,346,298.02/297,303.12
  6. Step 6: Final answer
    x = 222,639.26

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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.