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Finding the Fourth Proportional to 410,884.71, 615,478.18 and 241,884.28

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Solution

The fourth proportional to 410,884.71, 615,478.18 and 241,884.28 is: 362,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,884.71 : 615,478.18 = 241,884.28 : x
  2. Step 2: Convert to fraction form
    410,884.71/615,478.18 = 241,884.28/x
  3. Step 3: Cross multiply
    410,884.71x = 615,478.18 × 241,884.28
  4. Step 4: Simplify right side
    410,884.71x = 148,874,496,425.01
  5. Step 5: Solve for x
    x = 148,874,496,425.01/410,884.71
  6. Step 6: Final answer
    x = 362,326.69

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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.