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Finding the Fourth Proportional to 339,907.86, 469,063.47 and 186,946.08

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Solution

The fourth proportional to 339,907.86, 469,063.47 and 186,946.08 is: 257,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,907.86 : 469,063.47 = 186,946.08 : x
  2. Step 2: Convert to fraction form
    339,907.86/469,063.47 = 186,946.08/x
  3. Step 3: Cross multiply
    339,907.86x = 469,063.47 × 186,946.08
  4. Step 4: Simplify right side
    339,907.86x = 87,689,575,929.76
  5. Step 5: Solve for x
    x = 87,689,575,929.76/339,907.86
  6. Step 6: Final answer
    x = 257,980.43

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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.