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Finding the Fourth Proportional to 584,503.38, 876,804.78 and 205,391.40

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Solution

The fourth proportional to 584,503.38, 876,804.78 and 205,391.40 is: 308,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,503.38 : 876,804.78 = 205,391.40 : x
  2. Step 2: Convert to fraction form
    584,503.38/876,804.78 = 205,391.40/x
  3. Step 3: Cross multiply
    584,503.38x = 876,804.78 × 205,391.40
  4. Step 4: Simplify right side
    584,503.38x = 180,088,161,290.89
  5. Step 5: Solve for x
    x = 180,088,161,290.89/584,503.38
  6. Step 6: Final answer
    x = 308,104.57

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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.