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Finding the Fourth Proportional to 597,966, 896,952.24 and 154,734

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Solution

The fourth proportional to 597,966, 896,952.24 and 154,734 is: 232,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,966 : 896,952.24 = 154,734 : x
  2. Step 2: Convert to fraction form
    597,966/896,952.24 = 154,734/x
  3. Step 3: Cross multiply
    597,966x = 896,952.24 × 154,734
  4. Step 4: Simplify right side
    597,966x = 138,789,007,904.16
  5. Step 5: Solve for x
    x = 138,789,007,904.16/597,966
  6. Step 6: Final answer
    x = 232,101.84

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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.