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Finding the Fourth Proportional to 597,617, 896,579.10 and 203,633

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Solution

The fourth proportional to 597,617, 896,579.10 and 203,633 is: 305,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,617 : 896,579.10 = 203,633 : x
  2. Step 2: Convert to fraction form
    597,617/896,579.10 = 203,633/x
  3. Step 3: Cross multiply
    597,617x = 896,579.10 × 203,633
  4. Step 4: Simplify right side
    597,617x = 182,573,091,870.30
  5. Step 5: Solve for x
    x = 182,573,091,870.30/597,617
  6. Step 6: Final answer
    x = 305,501.84

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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.