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Finding the Fourth Proportional to 532,664.42, 735,072.53 and 290,947.14

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Solution

The fourth proportional to 532,664.42, 735,072.53 and 290,947.14 is: 401,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,664.42 : 735,072.53 = 290,947.14 : x
  2. Step 2: Convert to fraction form
    532,664.42/735,072.53 = 290,947.14/x
  3. Step 3: Cross multiply
    532,664.42x = 735,072.53 × 290,947.14
  4. Step 4: Simplify right side
    532,664.42x = 213,867,248,841.33
  5. Step 5: Solve for x
    x = 213,867,248,841.33/532,664.42
  6. Step 6: Final answer
    x = 401,504.67

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Why These Related Problems?

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