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Finding the Fourth Proportional to 366,987.20, 549,824.70 and 314,499.20

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Solution

The fourth proportional to 366,987.20, 549,824.70 and 314,499.20 is: 471,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,987.20 : 549,824.70 = 314,499.20 : x
  2. Step 2: Convert to fraction form
    366,987.20/549,824.70 = 314,499.20/x
  3. Step 3: Cross multiply
    366,987.20x = 549,824.70 × 314,499.20
  4. Step 4: Simplify right side
    366,987.20x = 172,919,428,290.24
  5. Step 5: Solve for x
    x = 172,919,428,290.24/366,987.20
  6. Step 6: Final answer
    x = 471,186.54

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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.