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Finding the Fourth Proportional to 597,967.16, 896,953.98 and 154,735.16

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Solution

The fourth proportional to 597,967.16, 896,953.98 and 154,735.16 is: 232,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,967.16 : 896,953.98 = 154,735.16 : x
  2. Step 2: Convert to fraction form
    597,967.16/896,953.98 = 154,735.16/x
  3. Step 3: Cross multiply
    597,967.16x = 896,953.98 × 154,735.16
  4. Step 4: Simplify right side
    597,967.16x = 138,790,317,607.94
  5. Step 5: Solve for x
    x = 138,790,317,607.94/597,967.16
  6. Step 6: Final answer
    x = 232,103.58

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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.