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Finding the Fourth Proportional to 398,642.63, 597,966.10 and 103,154.63

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Solution

The fourth proportional to 398,642.63, 597,966.10 and 103,154.63 is: 154,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,642.63 : 597,966.10 = 103,154.63 : x
  2. Step 2: Convert to fraction form
    398,642.63/597,966.10 = 103,154.63/x
  3. Step 3: Cross multiply
    398,642.63x = 597,966.10 × 103,154.63
  4. Step 4: Simplify right side
    398,642.63x = 61,682,968,550.33
  5. Step 5: Solve for x
    x = 61,682,968,550.33/398,642.63
  6. Step 6: Final answer
    x = 154,732.50

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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.