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Finding the Fourth Proportional to 364,296.85, 546,445.24 and 98,050.43

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Solution

The fourth proportional to 364,296.85, 546,445.24 and 98,050.43 is: 147,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,296.85 : 546,445.24 = 98,050.43 : x
  2. Step 2: Convert to fraction form
    364,296.85/546,445.24 = 98,050.43/x
  3. Step 3: Cross multiply
    364,296.85x = 546,445.24 × 98,050.43
  4. Step 4: Simplify right side
    364,296.85x = 53,579,191,874.44
  5. Step 5: Solve for x
    x = 53,579,191,874.44/364,296.85
  6. Step 6: Final answer
    x = 147,075.64

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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.