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Finding the Fourth Proportional to 419,980.40, 629,897.70 and 153,603.80

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Solution

The fourth proportional to 419,980.40, 629,897.70 and 153,603.80 is: 230,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,980.40 : 629,897.70 = 153,603.80 : x
  2. Step 2: Convert to fraction form
    419,980.40/629,897.70 = 153,603.80/x
  3. Step 3: Cross multiply
    419,980.40x = 629,897.70 × 153,603.80
  4. Step 4: Simplify right side
    419,980.40x = 96,754,680,331.26
  5. Step 5: Solve for x
    x = 96,754,680,331.26/419,980.40
  6. Step 6: Final answer
    x = 230,379.04

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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.