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Finding the Fourth Proportional to 380,104.40, 569,897.40 and 180,520.40

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Solution

The fourth proportional to 380,104.40, 569,897.40 and 180,520.40 is: 270,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,104.40 : 569,897.40 = 180,520.40 : x
  2. Step 2: Convert to fraction form
    380,104.40/569,897.40 = 180,520.40/x
  3. Step 3: Cross multiply
    380,104.40x = 569,897.40 × 180,520.40
  4. Step 4: Simplify right side
    380,104.40x = 102,878,106,606.96
  5. Step 5: Solve for x
    x = 102,878,106,606.96/380,104.40
  6. Step 6: Final answer
    x = 270,657.50

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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.