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Finding the Fourth Proportional to 304,825.85, 457,253.36 and 147,186.89

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Solution

The fourth proportional to 304,825.85, 457,253.36 and 147,186.89 is: 220,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,825.85 : 457,253.36 = 147,186.89 : x
  2. Step 2: Convert to fraction form
    304,825.85/457,253.36 = 147,186.89/x
  3. Step 3: Cross multiply
    304,825.85x = 457,253.36 × 147,186.89
  4. Step 4: Simplify right side
    304,825.85x = 67,301,696,978.25
  5. Step 5: Solve for x
    x = 67,301,696,978.25/304,825.85
  6. Step 6: Final answer
    x = 220,787.37

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1.5x scale

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.