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Finding the Fourth Proportional to 502,295.58, 753,573.78 and 165,388.50

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Solution

The fourth proportional to 502,295.58, 753,573.78 and 165,388.50 is: 248,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,295.58 : 753,573.78 = 165,388.50 : x
  2. Step 2: Convert to fraction form
    502,295.58/753,573.78 = 165,388.50/x
  3. Step 3: Cross multiply
    502,295.58x = 753,573.78 × 165,388.50
  4. Step 4: Simplify right side
    502,295.58x = 124,632,437,113.53
  5. Step 5: Solve for x
    x = 124,632,437,113.53/502,295.58
  6. Step 6: Final answer
    x = 248,125.69

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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.