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Finding the Fourth Proportional to 715,731.51, 987,711.54 and 409,812.54

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Solution

The fourth proportional to 715,731.51, 987,711.54 and 409,812.54 is: 565,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,731.51 : 987,711.54 = 409,812.54 : x
  2. Step 2: Convert to fraction form
    715,731.51/987,711.54 = 409,812.54/x
  3. Step 3: Cross multiply
    715,731.51x = 987,711.54 × 409,812.54
  4. Step 4: Simplify right side
    715,731.51x = 404,776,574,994.71
  5. Step 5: Solve for x
    x = 404,776,574,994.71/715,731.51
  6. Step 6: Final answer
    x = 565,542.48

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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.