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Finding the Fourth Proportional to 719,772.16, 993,317.52 and 413,947.84

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Solution

The fourth proportional to 719,772.16, 993,317.52 and 413,947.84 is: 571,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,772.16 : 993,317.52 = 413,947.84 : x
  2. Step 2: Convert to fraction form
    719,772.16/993,317.52 = 413,947.84/x
  3. Step 3: Cross multiply
    719,772.16x = 993,317.52 × 413,947.84
  4. Step 4: Simplify right side
    719,772.16x = 411,181,641,838.16
  5. Step 5: Solve for x
    x = 411,181,641,838.16/719,772.16
  6. Step 6: Final answer
    x = 571,266.39

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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.