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Finding the Fourth Proportional to 475,674.50, 656,370.67 and 260,758.01

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Solution

The fourth proportional to 475,674.50, 656,370.67 and 260,758.01 is: 359,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,674.50 : 656,370.67 = 260,758.01 : x
  2. Step 2: Convert to fraction form
    475,674.50/656,370.67 = 260,758.01/x
  3. Step 3: Cross multiply
    475,674.50x = 656,370.67 × 260,758.01
  4. Step 4: Simplify right side
    475,674.50x = 171,153,909,731.57
  5. Step 5: Solve for x
    x = 171,153,909,731.57/475,674.50
  6. Step 6: Final answer
    x = 359,813.09

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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.