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Finding the Fourth Proportional to 461,957.34, 692,936 and 146,414.24

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Solution

The fourth proportional to 461,957.34, 692,936 and 146,414.24 is: 219,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,957.34 : 692,936 = 146,414.24 : x
  2. Step 2: Convert to fraction form
    461,957.34/692,936 = 146,414.24/x
  3. Step 3: Cross multiply
    461,957.34x = 692,936 × 146,414.24
  4. Step 4: Simplify right side
    461,957.34x = 101,455,697,808.64
  5. Step 5: Solve for x
    x = 101,455,697,808.64/461,957.34
  6. Step 6: Final answer
    x = 219,621.36

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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.