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Finding the Fourth Proportional to 277,938.40, 416,600.40 and 153,368.80

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Solution

The fourth proportional to 277,938.40, 416,600.40 and 153,368.80 is: 229,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,938.40 : 416,600.40 = 153,368.80 : x
  2. Step 2: Convert to fraction form
    277,938.40/416,600.40 = 153,368.80/x
  3. Step 3: Cross multiply
    277,938.40x = 416,600.40 × 153,368.80
  4. Step 4: Simplify right side
    277,938.40x = 63,893,503,427.52
  5. Step 5: Solve for x
    x = 63,893,503,427.52/277,938.40
  6. Step 6: Final answer
    x = 229,883.68

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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.