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Finding the Fourth Proportional to 519,273.50, 778,618.06 and 357,357.74

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Solution

The fourth proportional to 519,273.50, 778,618.06 and 357,357.74 is: 535,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,273.50 : 778,618.06 = 357,357.74 : x
  2. Step 2: Convert to fraction form
    519,273.50/778,618.06 = 357,357.74/x
  3. Step 3: Cross multiply
    519,273.50x = 778,618.06 × 357,357.74
  4. Step 4: Simplify right side
    519,273.50x = 278,245,190,244.78
  5. Step 5: Solve for x
    x = 278,245,190,244.78/519,273.50
  6. Step 6: Final answer
    x = 535,835.53

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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.