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Finding the Fourth Proportional to 270,702.40, 406,079.20 and 73,710.40

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Solution

The fourth proportional to 270,702.40, 406,079.20 and 73,710.40 is: 110,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,702.40 : 406,079.20 = 73,710.40 : x
  2. Step 2: Convert to fraction form
    270,702.40/406,079.20 = 73,710.40/x
  3. Step 3: Cross multiply
    270,702.40x = 406,079.20 × 73,710.40
  4. Step 4: Simplify right side
    270,702.40x = 29,932,260,263.68
  5. Step 5: Solve for x
    x = 29,932,260,263.68/270,702.40
  6. Step 6: Final answer
    x = 110,572.57

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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.