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Finding the Fourth Proportional to 713,264.53, 984,405.75 and 441,419.98

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Solution

The fourth proportional to 713,264.53, 984,405.75 and 441,419.98 is: 609,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,264.53 : 984,405.75 = 441,419.98 : x
  2. Step 2: Convert to fraction form
    713,264.53/984,405.75 = 441,419.98/x
  3. Step 3: Cross multiply
    713,264.53x = 984,405.75 × 441,419.98
  4. Step 4: Simplify right side
    713,264.53x = 434,536,366,476.89
  5. Step 5: Solve for x
    x = 434,536,366,476.89/713,264.53
  6. Step 6: Final answer
    x = 609,221.89

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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.