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Finding the Fourth Proportional to 362,419.38, 500,078.72 and 209,471.84

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Solution

The fourth proportional to 362,419.38, 500,078.72 and 209,471.84 is: 289,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,419.38 : 500,078.72 = 209,471.84 : x
  2. Step 2: Convert to fraction form
    362,419.38/500,078.72 = 209,471.84/x
  3. Step 3: Cross multiply
    362,419.38x = 500,078.72 × 209,471.84
  4. Step 4: Simplify right side
    362,419.38x = 104,752,407,526.22
  5. Step 5: Solve for x
    x = 104,752,407,526.22/362,419.38
  6. Step 6: Final answer
    x = 289,036.44

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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.