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Finding the Fourth Proportional to 549,031.32, 757,621.80 and 334,147.64

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Solution

The fourth proportional to 549,031.32, 757,621.80 and 334,147.64 is: 461,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,031.32 : 757,621.80 = 334,147.64 : x
  2. Step 2: Convert to fraction form
    549,031.32/757,621.80 = 334,147.64/x
  3. Step 3: Cross multiply
    549,031.32x = 757,621.80 × 334,147.64
  4. Step 4: Simplify right side
    549,031.32x = 253,157,532,694.44
  5. Step 5: Solve for x
    x = 253,157,532,694.44/549,031.32
  6. Step 6: Final answer
    x = 461,098.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.