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Finding the Fourth Proportional to 590,596.76, 884,565.64 and 413,892.64

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Solution

The fourth proportional to 590,596.76, 884,565.64 and 413,892.64 is: 619,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,596.76 : 884,565.64 = 413,892.64 : x
  2. Step 2: Convert to fraction form
    590,596.76/884,565.64 = 413,892.64/x
  3. Step 3: Cross multiply
    590,596.76x = 884,565.64 × 413,892.64
  4. Step 4: Simplify right side
    590,596.76x = 366,115,207,992.89
  5. Step 5: Solve for x
    x = 366,115,207,992.89/590,596.76
  6. Step 6: Final answer
    x = 619,907.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.