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Finding the Fourth Proportional to 538,775.60, 809,329.80 and 518,946.80

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Solution

The fourth proportional to 538,775.60, 809,329.80 and 518,946.80 is: 779,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,775.60 : 809,329.80 = 518,946.80 : x
  2. Step 2: Convert to fraction form
    538,775.60/809,329.80 = 518,946.80/x
  3. Step 3: Cross multiply
    538,775.60x = 809,329.80 × 518,946.80
  4. Step 4: Simplify right side
    538,775.60x = 419,999,109,854.64
  5. Step 5: Solve for x
    x = 419,999,109,854.64/538,775.60
  6. Step 6: Final answer
    x = 779,543.67

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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.