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Finding the Fourth Proportional to 270,901.40, 406,206.30 and 112,951.40

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Solution

The fourth proportional to 270,901.40, 406,206.30 and 112,951.40 is: 169,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,901.40 : 406,206.30 = 112,951.40 : x
  2. Step 2: Convert to fraction form
    270,901.40/406,206.30 = 112,951.40/x
  3. Step 3: Cross multiply
    270,901.40x = 406,206.30 × 112,951.40
  4. Step 4: Simplify right side
    270,901.40x = 45,881,570,273.82
  5. Step 5: Solve for x
    x = 45,881,570,273.82/270,901.40
  6. Step 6: Final answer
    x = 169,366.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.