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Finding the Fourth Proportional to 341,329.74, 471,046.35 and 186,289.50

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Solution

The fourth proportional to 341,329.74, 471,046.35 and 186,289.50 is: 257,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,329.74 : 471,046.35 = 186,289.50 : x
  2. Step 2: Convert to fraction form
    341,329.74/471,046.35 = 186,289.50/x
  3. Step 3: Cross multiply
    341,329.74x = 471,046.35 × 186,289.50
  4. Step 4: Simplify right side
    341,329.74x = 87,750,989,018.33
  5. Step 5: Solve for x
    x = 87,750,989,018.33/341,329.74
  6. Step 6: Final answer
    x = 257,085.68

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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.