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Finding the Fourth Proportional to 728,912.32, 1,005,900.64 and 406,614.40

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Solution

The fourth proportional to 728,912.32, 1,005,900.64 and 406,614.40 is: 561,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,912.32 : 1,005,900.64 = 406,614.40 : x
  2. Step 2: Convert to fraction form
    728,912.32/1,005,900.64 = 406,614.40/x
  3. Step 3: Cross multiply
    728,912.32x = 1,005,900.64 × 406,614.40
  4. Step 4: Simplify right side
    728,912.32x = 409,013,685,193.22
  5. Step 5: Solve for x
    x = 409,013,685,193.22/728,912.32
  6. Step 6: Final answer
    x = 561,128.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.