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Finding the Fourth Proportional to 597,622.14, 824,718.54 and 329,350.14

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Solution

The fourth proportional to 597,622.14, 824,718.54 and 329,350.14 is: 454,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,622.14 : 824,718.54 = 329,350.14 : x
  2. Step 2: Convert to fraction form
    597,622.14/824,718.54 = 329,350.14/x
  3. Step 3: Cross multiply
    597,622.14x = 824,718.54 × 329,350.14
  4. Step 4: Simplify right side
    597,622.14x = 271,621,166,609.60
  5. Step 5: Solve for x
    x = 271,621,166,609.60/597,622.14
  6. Step 6: Final answer
    x = 454,503.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.