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Finding the Fourth Proportional to 700,684, 966,947.76 and 382,732

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Solution

The fourth proportional to 700,684, 966,947.76 and 382,732 is: 528,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,684 : 966,947.76 = 382,732 : x
  2. Step 2: Convert to fraction form
    700,684/966,947.76 = 382,732/x
  3. Step 3: Cross multiply
    700,684x = 966,947.76 × 382,732
  4. Step 4: Simplify right side
    700,684x = 370,081,850,080.32
  5. Step 5: Solve for x
    x = 370,081,850,080.32/700,684
  6. Step 6: Final answer
    x = 528,172.26

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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.