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Finding the Fourth Proportional to 521,595.94, 782,393.93 and 284,809.45

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Solution

The fourth proportional to 521,595.94, 782,393.93 and 284,809.45 is: 427,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,595.94 : 782,393.93 = 284,809.45 : x
  2. Step 2: Convert to fraction form
    521,595.94/782,393.93 = 284,809.45/x
  3. Step 3: Cross multiply
    521,595.94x = 782,393.93 × 284,809.45
  4. Step 4: Simplify right side
    521,595.94x = 222,833,184,886.64
  5. Step 5: Solve for x
    x = 222,833,184,886.64/521,595.94
  6. Step 6: Final answer
    x = 427,214.19

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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.