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Finding the Fourth Proportional to 475,673.50, 656,369.29 and 260,757.01

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Solution

The fourth proportional to 475,673.50, 656,369.29 and 260,757.01 is: 359,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,673.50 : 656,369.29 = 260,757.01 : x
  2. Step 2: Convert to fraction form
    475,673.50/656,369.29 = 260,757.01/x
  3. Step 3: Cross multiply
    475,673.50x = 656,369.29 × 260,757.01
  4. Step 4: Simplify right side
    475,673.50x = 171,152,893,516.22
  5. Step 5: Solve for x
    x = 171,152,893,516.22/475,673.50
  6. Step 6: Final answer
    x = 359,811.71

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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.