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Finding the Fourth Proportional to 410,567.28, 615,959.40 and 173,918.64

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Solution

The fourth proportional to 410,567.28, 615,959.40 and 173,918.64 is: 260,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,567.28 : 615,959.40 = 173,918.64 : x
  2. Step 2: Convert to fraction form
    410,567.28/615,959.40 = 173,918.64/x
  3. Step 3: Cross multiply
    410,567.28x = 615,959.40 × 173,918.64
  4. Step 4: Simplify right side
    410,567.28x = 107,126,821,143.22
  5. Step 5: Solve for x
    x = 107,126,821,143.22/410,567.28
  6. Step 6: Final answer
    x = 260,923.91

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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.