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Finding the Fourth Proportional to 595,237.86, 820,978.12 and 413,859.02

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Solution

The fourth proportional to 595,237.86, 820,978.12 and 413,859.02 is: 570,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,237.86 : 820,978.12 = 413,859.02 : x
  2. Step 2: Convert to fraction form
    595,237.86/820,978.12 = 413,859.02/x
  3. Step 3: Cross multiply
    595,237.86x = 820,978.12 × 413,859.02
  4. Step 4: Simplify right side
    595,237.86x = 339,769,200,184.64
  5. Step 5: Solve for x
    x = 339,769,200,184.64/595,237.86
  6. Step 6: Final answer
    x = 570,812.48

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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.