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Finding the Fourth Proportional to 729,478.06, 1,006,677 and 407,185.34

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Solution

The fourth proportional to 729,478.06, 1,006,677 and 407,185.34 is: 561,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,478.06 : 1,006,677 = 407,185.34 : x
  2. Step 2: Convert to fraction form
    729,478.06/1,006,677 = 407,185.34/x
  3. Step 3: Cross multiply
    729,478.06x = 1,006,677 × 407,185.34
  4. Step 4: Simplify right side
    729,478.06x = 409,904,116,515.18
  5. Step 5: Solve for x
    x = 409,904,116,515.18/729,478.06
  6. Step 6: Final answer
    x = 561,914.25

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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.