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Finding the Fourth Proportional to 242,446.40, 362,805.60 and 153,742.40

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Solution

The fourth proportional to 242,446.40, 362,805.60 and 153,742.40 is: 230,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,446.40 : 362,805.60 = 153,742.40 : x
  2. Step 2: Convert to fraction form
    242,446.40/362,805.60 = 153,742.40/x
  3. Step 3: Cross multiply
    242,446.40x = 362,805.60 × 153,742.40
  4. Step 4: Simplify right side
    242,446.40x = 55,778,603,677.44
  5. Step 5: Solve for x
    x = 55,778,603,677.44/242,446.40
  6. Step 6: Final answer
    x = 230,065.71

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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.