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Finding the Fourth Proportional to 731,633.76, 1,009,693.84 and 409,324.64

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Solution

The fourth proportional to 731,633.76, 1,009,693.84 and 409,324.64 is: 564,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,633.76 : 1,009,693.84 = 409,324.64 : x
  2. Step 2: Convert to fraction form
    731,633.76/1,009,693.84 = 409,324.64/x
  3. Step 3: Cross multiply
    731,633.76x = 1,009,693.84 × 409,324.64
  4. Step 4: Simplify right side
    731,633.76x = 413,292,567,568.22
  5. Step 5: Solve for x
    x = 413,292,567,568.22/731,633.76
  6. Step 6: Final answer
    x = 564,889.96

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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.