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Finding the Fourth Proportional to 504,098.40, 755,564.40 and 204,430.80

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Solution

The fourth proportional to 504,098.40, 755,564.40 and 204,430.80 is: 306,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,098.40 : 755,564.40 = 204,430.80 : x
  2. Step 2: Convert to fraction form
    504,098.40/755,564.40 = 204,430.80/x
  3. Step 3: Cross multiply
    504,098.40x = 755,564.40 × 204,430.80
  4. Step 4: Simplify right side
    504,098.40x = 154,460,634,743.52
  5. Step 5: Solve for x
    x = 154,460,634,743.52/504,098.40
  6. Step 6: Final answer
    x = 306,409.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.