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Finding the Fourth Proportional to 597,618, 896,580.60 and 203,634

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Solution

The fourth proportional to 597,618, 896,580.60 and 203,634 is: 305,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,618 : 896,580.60 = 203,634 : x
  2. Step 2: Convert to fraction form
    597,618/896,580.60 = 203,634/x
  3. Step 3: Cross multiply
    597,618x = 896,580.60 × 203,634
  4. Step 4: Simplify right side
    597,618x = 182,574,293,900.40
  5. Step 5: Solve for x
    x = 182,574,293,900.40/597,618
  6. Step 6: Final answer
    x = 305,503.34

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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.