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Finding the Fourth Proportional to 297,538.10, 410,602.11 and 163,402.10

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Solution

The fourth proportional to 297,538.10, 410,602.11 and 163,402.10 is: 225,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,538.10 : 410,602.11 = 163,402.10 : x
  2. Step 2: Convert to fraction form
    297,538.10/410,602.11 = 163,402.10/x
  3. Step 3: Cross multiply
    297,538.10x = 410,602.11 × 163,402.10
  4. Step 4: Simplify right side
    297,538.10x = 67,093,247,038.43
  5. Step 5: Solve for x
    x = 67,093,247,038.43/297,538.10
  6. Step 6: Final answer
    x = 225,494.64

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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.