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Finding the Fourth Proportional to 597,806.68, 824,931.96 and 336,201.10

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Solution

The fourth proportional to 597,806.68, 824,931.96 and 336,201.10 is: 463,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,806.68 : 824,931.96 = 336,201.10 : x
  2. Step 2: Convert to fraction form
    597,806.68/824,931.96 = 336,201.10/x
  3. Step 3: Cross multiply
    597,806.68x = 824,931.96 × 336,201.10
  4. Step 4: Simplify right side
    597,806.68x = 277,343,032,377.16
  5. Step 5: Solve for x
    x = 277,343,032,377.16/597,806.68
  6. Step 6: Final answer
    x = 463,934.31

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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.