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Finding the Fourth Proportional to 820,384.68, 1,132,128.63 and 457,804.65

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Solution

The fourth proportional to 820,384.68, 1,132,128.63 and 457,804.65 is: 631,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,384.68 : 1,132,128.63 = 457,804.65 : x
  2. Step 2: Convert to fraction form
    820,384.68/1,132,128.63 = 457,804.65/x
  3. Step 3: Cross multiply
    820,384.68x = 1,132,128.63 × 457,804.65
  4. Step 4: Simplify right side
    820,384.68x = 518,293,751,212.13
  5. Step 5: Solve for x
    x = 518,293,751,212.13/820,384.68
  6. Step 6: Final answer
    x = 631,769.17

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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.