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Finding the Fourth Proportional to 713,888.31, 1,071,782.79 and 414,583.71

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Solution

The fourth proportional to 713,888.31, 1,071,782.79 and 414,583.71 is: 622,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,888.31 : 1,071,782.79 = 414,583.71 : x
  2. Step 2: Convert to fraction form
    713,888.31/1,071,782.79 = 414,583.71/x
  3. Step 3: Cross multiply
    713,888.31x = 1,071,782.79 × 414,583.71
  4. Step 4: Simplify right side
    713,888.31x = 444,343,685,392.35
  5. Step 5: Solve for x
    x = 444,343,685,392.35/713,888.31
  6. Step 6: Final answer
    x = 622,427.46

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Why These Related Problems?

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