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Finding the Fourth Proportional to 532,438.34, 734,794.62 and 290,743.34

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Solution

The fourth proportional to 532,438.34, 734,794.62 and 290,743.34 is: 401,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,438.34 : 734,794.62 = 290,743.34 : x
  2. Step 2: Convert to fraction form
    532,438.34/734,794.62 = 290,743.34/x
  3. Step 3: Cross multiply
    532,438.34x = 734,794.62 × 290,743.34
  4. Step 4: Simplify right side
    532,438.34x = 213,636,642,032.83
  5. Step 5: Solve for x
    x = 213,636,642,032.83/532,438.34
  6. Step 6: Final answer
    x = 401,242.03

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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.