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Finding the Fourth Proportional to 584,267.72, 876,784.50 and 205,178.54

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Solution

The fourth proportional to 584,267.72, 876,784.50 and 205,178.54 is: 307,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,267.72 : 876,784.50 = 205,178.54 : x
  2. Step 2: Convert to fraction form
    584,267.72/876,784.50 = 205,178.54/x
  3. Step 3: Cross multiply
    584,267.72x = 876,784.50 × 205,178.54
  4. Step 4: Simplify right side
    584,267.72x = 179,897,359,220.71
  5. Step 5: Solve for x
    x = 179,897,359,220.71/584,267.72
  6. Step 6: Final answer
    x = 307,902.28

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