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Finding the Fourth Proportional to 385,242.87, 531,624.93 and 213,156.35

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Solution

The fourth proportional to 385,242.87, 531,624.93 and 213,156.35 is: 294,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,242.87 : 531,624.93 = 213,156.35 : x
  2. Step 2: Convert to fraction form
    385,242.87/531,624.93 = 213,156.35/x
  3. Step 3: Cross multiply
    385,242.87x = 531,624.93 × 213,156.35
  4. Step 4: Simplify right side
    385,242.87x = 113,319,229,647.81
  5. Step 5: Solve for x
    x = 113,319,229,647.81/385,242.87
  6. Step 6: Final answer
    x = 294,150.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.