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Finding the Fourth Proportional to 554,516.64, 765,176.09 and 409,399.47

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Solution

The fourth proportional to 554,516.64, 765,176.09 and 409,399.47 is: 564,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,516.64 : 765,176.09 = 409,399.47 : x
  2. Step 2: Convert to fraction form
    554,516.64/765,176.09 = 409,399.47/x
  3. Step 3: Cross multiply
    554,516.64x = 765,176.09 × 409,399.47
  4. Step 4: Simplify right side
    554,516.64x = 313,262,683,655.68
  5. Step 5: Solve for x
    x = 313,262,683,655.68/554,516.64
  6. Step 6: Final answer
    x = 564,929.28

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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.