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Finding the Fourth Proportional to 549,341.44, 824,017.29 and 194,415.64

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Solution

The fourth proportional to 549,341.44, 824,017.29 and 194,415.64 is: 291,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,341.44 : 824,017.29 = 194,415.64 : x
  2. Step 2: Convert to fraction form
    549,341.44/824,017.29 = 194,415.64/x
  3. Step 3: Cross multiply
    549,341.44x = 824,017.29 × 194,415.64
  4. Step 4: Simplify right side
    549,341.44x = 160,201,846,017.31
  5. Step 5: Solve for x
    x = 160,201,846,017.31/549,341.44
  6. Step 6: Final answer
    x = 291,625.27

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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.