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Finding the Fourth Proportional to 334,957.45, 502,509.99 and 185,415.86

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Solution

The fourth proportional to 334,957.45, 502,509.99 and 185,415.86 is: 278,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,957.45 : 502,509.99 = 185,415.86 : x
  2. Step 2: Convert to fraction form
    334,957.45/502,509.99 = 185,415.86/x
  3. Step 3: Cross multiply
    334,957.45x = 502,509.99 × 185,415.86
  4. Step 4: Simplify right side
    334,957.45x = 93,173,321,954.44
  5. Step 5: Solve for x
    x = 93,173,321,954.44/334,957.45
  6. Step 6: Final answer
    x = 278,164.65

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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.