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Finding the Fourth Proportional to 415,945.42, 574,004.66 and 224,958.81

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Solution

The fourth proportional to 415,945.42, 574,004.66 and 224,958.81 is: 310,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,945.42 : 574,004.66 = 224,958.81 : x
  2. Step 2: Convert to fraction form
    415,945.42/574,004.66 = 224,958.81/x
  3. Step 3: Cross multiply
    415,945.42x = 574,004.66 × 224,958.81
  4. Step 4: Simplify right side
    415,945.42x = 129,127,405,248.06
  5. Step 5: Solve for x
    x = 129,127,405,248.06/415,945.42
  6. Step 6: Final answer
    x = 310,443.15

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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.