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Finding the Fourth Proportional to 297,530.10, 410,591.07 and 163,394.10

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Solution

The fourth proportional to 297,530.10, 410,591.07 and 163,394.10 is: 225,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,530.10 : 410,591.07 = 163,394.10 : x
  2. Step 2: Convert to fraction form
    297,530.10/410,591.07 = 163,394.10/x
  3. Step 3: Cross multiply
    297,530.10x = 410,591.07 × 163,394.10
  4. Step 4: Simplify right side
    297,530.10x = 67,088,158,350.69
  5. Step 5: Solve for x
    x = 67,088,158,350.69/297,530.10
  6. Step 6: Final answer
    x = 225,483.60

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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.