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Finding the Fourth Proportional to 410,625.67, 615,938.51 and 154,506.40

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Solution

The fourth proportional to 410,625.67, 615,938.51 and 154,506.40 is: 231,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,625.67 : 615,938.51 = 154,506.40 : x
  2. Step 2: Convert to fraction form
    410,625.67/615,938.51 = 154,506.40/x
  3. Step 3: Cross multiply
    410,625.67x = 615,938.51 × 154,506.40
  4. Step 4: Simplify right side
    410,625.67x = 95,166,441,801.46
  5. Step 5: Solve for x
    x = 95,166,441,801.46/410,625.67
  6. Step 6: Final answer
    x = 231,759.60

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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.