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Finding the Fourth Proportional to 297,774.72, 410,931.37 and 161,809.40

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Solution

The fourth proportional to 297,774.72, 410,931.37 and 161,809.40 is: 223,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,774.72 : 410,931.37 = 161,809.40 : x
  2. Step 2: Convert to fraction form
    297,774.72/410,931.37 = 161,809.40/x
  3. Step 3: Cross multiply
    297,774.72x = 410,931.37 × 161,809.40
  4. Step 4: Simplify right side
    297,774.72x = 66,492,558,420.88
  5. Step 5: Solve for x
    x = 66,492,558,420.88/297,774.72
  6. Step 6: Final answer
    x = 223,298.20

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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.