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Finding the Fourth Proportional to 597,148.96, 824,011.32 and 355,392.52

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Solution

The fourth proportional to 597,148.96, 824,011.32 and 355,392.52 is: 490,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,148.96 : 824,011.32 = 355,392.52 : x
  2. Step 2: Convert to fraction form
    597,148.96/824,011.32 = 355,392.52/x
  3. Step 3: Cross multiply
    597,148.96x = 824,011.32 × 355,392.52
  4. Step 4: Simplify right side
    597,148.96x = 292,847,459,523.33
  5. Step 5: Solve for x
    x = 292,847,459,523.33/597,148.96
  6. Step 6: Final answer
    x = 490,409.39

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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.