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Finding the Fourth Proportional to 364,506.40, 547,415.70 and 264,779.20

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Solution

The fourth proportional to 364,506.40, 547,415.70 and 264,779.20 is: 397,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,506.40 : 547,415.70 = 264,779.20 : x
  2. Step 2: Convert to fraction form
    364,506.40/547,415.70 = 264,779.20/x
  3. Step 3: Cross multiply
    364,506.40x = 547,415.70 × 264,779.20
  4. Step 4: Simplify right side
    364,506.40x = 144,944,291,113.44
  5. Step 5: Solve for x
    x = 144,944,291,113.44/364,506.40
  6. Step 6: Final answer
    x = 397,645.39

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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.