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Finding the Fourth Proportional to 597,465.36, 824,325.32 and 355,554

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Solution

The fourth proportional to 597,465.36, 824,325.32 and 355,554 is: 490,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,465.36 : 824,325.32 = 355,554 : x
  2. Step 2: Convert to fraction form
    597,465.36/824,325.32 = 355,554/x
  3. Step 3: Cross multiply
    597,465.36x = 824,325.32 × 355,554
  4. Step 4: Simplify right side
    597,465.36x = 293,092,164,827.28
  5. Step 5: Solve for x
    x = 293,092,164,827.28/597,465.36
  6. Step 6: Final answer
    x = 490,559.26

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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.