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Finding the Fourth Proportional to 521,294.84, 782,006.64 and 184,266.02

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Solution

The fourth proportional to 521,294.84, 782,006.64 and 184,266.02 is: 276,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,294.84 : 782,006.64 = 184,266.02 : x
  2. Step 2: Convert to fraction form
    521,294.84/782,006.64 = 184,266.02/x
  3. Step 3: Cross multiply
    521,294.84x = 782,006.64 × 184,266.02
  4. Step 4: Simplify right side
    521,294.84x = 144,097,251,166.37
  5. Step 5: Solve for x
    x = 144,097,251,166.37/521,294.84
  6. Step 6: Final answer
    x = 276,421.79

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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.