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Finding the Fourth Proportional to 475,525.84, 656,233.80 and 260,652.16

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Solution

The fourth proportional to 475,525.84, 656,233.80 and 260,652.16 is: 359,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,525.84 : 656,233.80 = 260,652.16 : x
  2. Step 2: Convert to fraction form
    475,525.84/656,233.80 = 260,652.16/x
  3. Step 3: Cross multiply
    475,525.84x = 656,233.80 × 260,652.16
  4. Step 4: Simplify right side
    475,525.84x = 171,048,757,435.01
  5. Step 5: Solve for x
    x = 171,048,757,435.01/475,525.84
  6. Step 6: Final answer
    x = 359,704.44

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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.