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Finding the Fourth Proportional to 339,967.60, 509,732.52 and 292,597.12

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Solution

The fourth proportional to 339,967.60, 509,732.52 and 292,597.12 is: 438,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,967.60 : 509,732.52 = 292,597.12 : x
  2. Step 2: Convert to fraction form
    339,967.60/509,732.52 = 292,597.12/x
  3. Step 3: Cross multiply
    339,967.60x = 509,732.52 × 292,597.12
  4. Step 4: Simplify right side
    339,967.60x = 149,146,267,322.34
  5. Step 5: Solve for x
    x = 149,146,267,322.34/339,967.60
  6. Step 6: Final answer
    x = 438,707.30

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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.