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Finding the Fourth Proportional to 405,889.32, 560,284.26 and 363,373.96

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Solution

The fourth proportional to 405,889.32, 560,284.26 and 363,373.96 is: 501,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,889.32 : 560,284.26 = 363,373.96 : x
  2. Step 2: Convert to fraction form
    405,889.32/560,284.26 = 363,373.96/x
  3. Step 3: Cross multiply
    405,889.32x = 560,284.26 × 363,373.96
  4. Step 4: Simplify right side
    405,889.32x = 203,592,710,281.87
  5. Step 5: Solve for x
    x = 203,592,710,281.87/405,889.32
  6. Step 6: Final answer
    x = 501,596.62

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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.