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Finding the Fourth Proportional to 597,718.71, 824,814.36 and 329,446.71

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Solution

The fourth proportional to 597,718.71, 824,814.36 and 329,446.71 is: 454,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,718.71 : 824,814.36 = 329,446.71 : x
  2. Step 2: Convert to fraction form
    597,718.71/824,814.36 = 329,446.71/x
  3. Step 3: Cross multiply
    597,718.71x = 824,814.36 × 329,446.71
  4. Step 4: Simplify right side
    597,718.71x = 271,732,377,262.76
  5. Step 5: Solve for x
    x = 271,732,377,262.76/597,718.71
  6. Step 6: Final answer
    x = 454,615.81

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Double scale
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1.5x scale

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.