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Finding the Fourth Proportional to 475,657.56, 656,416.44 and 260,784.81

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Solution

The fourth proportional to 475,657.56, 656,416.44 and 260,784.81 is: 359,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,657.56 : 656,416.44 = 260,784.81 : x
  2. Step 2: Convert to fraction form
    475,657.56/656,416.44 = 260,784.81/x
  3. Step 3: Cross multiply
    475,657.56x = 656,416.44 × 260,784.81
  4. Step 4: Simplify right side
    475,657.56x = 171,183,436,586.28
  5. Step 5: Solve for x
    x = 171,183,436,586.28/475,657.56
  6. Step 6: Final answer
    x = 359,887.98

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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.