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Finding the Fourth Proportional to 549,097.10, 824,178.29 and 264,987.60

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Solution

The fourth proportional to 549,097.10, 824,178.29 and 264,987.60 is: 397,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,097.10 : 824,178.29 = 264,987.60 : x
  2. Step 2: Convert to fraction form
    549,097.10/824,178.29 = 264,987.60/x
  3. Step 3: Cross multiply
    549,097.10x = 824,178.29 × 264,987.60
  4. Step 4: Simplify right side
    549,097.10x = 218,397,028,750.16
  5. Step 5: Solve for x
    x = 218,397,028,750.16/549,097.10
  6. Step 6: Final answer
    x = 397,738.45

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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.