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Finding the Fourth Proportional to 257,477.28, 386,216.16 and 146,436

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Solution

The fourth proportional to 257,477.28, 386,216.16 and 146,436 is: 219,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,477.28 : 386,216.16 = 146,436 : x
  2. Step 2: Convert to fraction form
    257,477.28/386,216.16 = 146,436/x
  3. Step 3: Cross multiply
    257,477.28x = 386,216.16 × 146,436
  4. Step 4: Simplify right side
    257,477.28x = 56,555,949,605.76
  5. Step 5: Solve for x
    x = 56,555,949,605.76/257,477.28
  6. Step 6: Final answer
    x = 219,654.14

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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.