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Finding the Fourth Proportional to 532,829.88, 735,048.90 and 387,410.33

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Solution

The fourth proportional to 532,829.88, 735,048.90 and 387,410.33 is: 534,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,829.88 : 735,048.90 = 387,410.33 : x
  2. Step 2: Convert to fraction form
    532,829.88/735,048.90 = 387,410.33/x
  3. Step 3: Cross multiply
    532,829.88x = 735,048.90 × 387,410.33
  4. Step 4: Simplify right side
    532,829.88x = 284,765,533,239.89
  5. Step 5: Solve for x
    x = 284,765,533,239.89/532,829.88
  6. Step 6: Final answer
    x = 534,439.87

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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.