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Finding the Fourth Proportional to 729,333.76, 1,006,478.40 and 407,040.32

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Solution

The fourth proportional to 729,333.76, 1,006,478.40 and 407,040.32 is: 561,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,333.76 : 1,006,478.40 = 407,040.32 : x
  2. Step 2: Convert to fraction form
    729,333.76/1,006,478.40 = 407,040.32/x
  3. Step 3: Cross multiply
    729,333.76x = 1,006,478.40 × 407,040.32
  4. Step 4: Simplify right side
    729,333.76x = 409,677,290,009.09
  5. Step 5: Solve for x
    x = 409,677,290,009.09/729,333.76
  6. Step 6: Final answer
    x = 561,714.42

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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.