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Finding the Fourth Proportional to 549,055.95, 823,559.65 and 149,696.74

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Solution

The fourth proportional to 549,055.95, 823,559.65 and 149,696.74 is: 224,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,055.95 : 823,559.65 = 149,696.74 : x
  2. Step 2: Convert to fraction form
    549,055.95/823,559.65 = 149,696.74/x
  3. Step 3: Cross multiply
    549,055.95x = 823,559.65 × 149,696.74
  4. Step 4: Simplify right side
    549,055.95x = 123,284,194,800.54
  5. Step 5: Solve for x
    x = 123,284,194,800.54/549,055.95
  6. Step 6: Final answer
    x = 224,538.49

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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.