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Finding the Fourth Proportional to 649,527.30, 975,174.47 and 365,417.77

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Solution

The fourth proportional to 649,527.30, 975,174.47 and 365,417.77 is: 548,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,527.30 : 975,174.47 = 365,417.77 : x
  2. Step 2: Convert to fraction form
    649,527.30/975,174.47 = 365,417.77/x
  3. Step 3: Cross multiply
    649,527.30x = 975,174.47 × 365,417.77
  4. Step 4: Simplify right side
    649,527.30x = 356,346,080,188.33
  5. Step 5: Solve for x
    x = 356,346,080,188.33/649,527.30
  6. Step 6: Final answer
    x = 548,623.71

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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.