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Finding the Fourth Proportional to 584,263.96, 876,492.80 and 205,086.30

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Solution

The fourth proportional to 584,263.96, 876,492.80 and 205,086.30 is: 307,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,263.96 : 876,492.80 = 205,086.30 : x
  2. Step 2: Convert to fraction form
    584,263.96/876,492.80 = 205,086.30/x
  3. Step 3: Cross multiply
    584,263.96x = 876,492.80 × 205,086.30
  4. Step 4: Simplify right side
    584,263.96x = 179,756,669,180.84
  5. Step 5: Solve for x
    x = 179,756,669,180.84/584,263.96
  6. Step 6: Final answer
    x = 307,663.46

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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.