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Finding the Fourth Proportional to 653,805.27, 902,245.12 and 363,409.23

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Solution

The fourth proportional to 653,805.27, 902,245.12 and 363,409.23 is: 501,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,805.27 : 902,245.12 = 363,409.23 : x
  2. Step 2: Convert to fraction form
    653,805.27/902,245.12 = 363,409.23/x
  3. Step 3: Cross multiply
    653,805.27x = 902,245.12 × 363,409.23
  4. Step 4: Simplify right side
    653,805.27x = 327,884,204,330.46
  5. Step 5: Solve for x
    x = 327,884,204,330.46/653,805.27
  6. Step 6: Final answer
    x = 501,501.32

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Double scale
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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.