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Finding the Fourth Proportional to 406,510.52, 561,247.78 and 261,381.50

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Solution

The fourth proportional to 406,510.52, 561,247.78 and 261,381.50 is: 360,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,510.52 : 561,247.78 = 261,381.50 : x
  2. Step 2: Convert to fraction form
    406,510.52/561,247.78 = 261,381.50/x
  3. Step 3: Cross multiply
    406,510.52x = 561,247.78 × 261,381.50
  4. Step 4: Simplify right side
    406,510.52x = 146,699,786,608.07
  5. Step 5: Solve for x
    x = 146,699,786,608.07/406,510.52
  6. Step 6: Final answer
    x = 360,875.74

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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.