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Finding the Fourth Proportional to 631,009.78, 946,574.19 and 489,014.11

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Solution

The fourth proportional to 631,009.78, 946,574.19 and 489,014.11 is: 733,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,009.78 : 946,574.19 = 489,014.11 : x
  2. Step 2: Convert to fraction form
    631,009.78/946,574.19 = 489,014.11/x
  3. Step 3: Cross multiply
    631,009.78x = 946,574.19 × 489,014.11
  4. Step 4: Simplify right side
    631,009.78x = 462,888,135,071.82
  5. Step 5: Solve for x
    x = 462,888,135,071.82/631,009.78
  6. Step 6: Final answer
    x = 733,567.29

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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.