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Finding the Fourth Proportional to 595,235.86, 820,975.37 and 413,857.01

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Solution

The fourth proportional to 595,235.86, 820,975.37 and 413,857.01 is: 570,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,235.86 : 820,975.37 = 413,857.01 : x
  2. Step 2: Convert to fraction form
    595,235.86/820,975.37 = 413,857.01/x
  3. Step 3: Cross multiply
    595,235.86x = 820,975.37 × 413,857.01
  4. Step 4: Simplify right side
    595,235.86x = 339,766,411,895.00
  5. Step 5: Solve for x
    x = 339,766,411,895.00/595,235.86
  6. Step 6: Final answer
    x = 570,809.72

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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.