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Finding the Fourth Proportional to 733,707.84, 1,097,802.36 and 434,329.32

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Solution

The fourth proportional to 733,707.84, 1,097,802.36 and 434,329.32 is: 649,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,707.84 : 1,097,802.36 = 434,329.32 : x
  2. Step 2: Convert to fraction form
    733,707.84/1,097,802.36 = 434,329.32/x
  3. Step 3: Cross multiply
    733,707.84x = 1,097,802.36 × 434,329.32
  4. Step 4: Simplify right side
    733,707.84x = 476,807,752,513.20
  5. Step 5: Solve for x
    x = 476,807,752,513.20/733,707.84
  6. Step 6: Final answer
    x = 649,860.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.