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Finding the Fourth Proportional to 549,106.36, 824,192.16 and 264,996.87

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Solution

The fourth proportional to 549,106.36, 824,192.16 and 264,996.87 is: 397,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,106.36 : 824,192.16 = 264,996.87 : x
  2. Step 2: Convert to fraction form
    549,106.36/824,192.16 = 264,996.87/x
  3. Step 3: Cross multiply
    549,106.36x = 824,192.16 × 264,996.87
  4. Step 4: Simplify right side
    549,106.36x = 218,408,342,678.54
  5. Step 5: Solve for x
    x = 218,408,342,678.54/549,106.36
  6. Step 6: Final answer
    x = 397,752.35

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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.