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Finding the Fourth Proportional to 549,289.45, 822,950.02 and 194,076.91

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Solution

The fourth proportional to 549,289.45, 822,950.02 and 194,076.91 is: 290,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,289.45 : 822,950.02 = 194,076.91 : x
  2. Step 2: Convert to fraction form
    549,289.45/822,950.02 = 194,076.91/x
  3. Step 3: Cross multiply
    549,289.45x = 822,950.02 × 194,076.91
  4. Step 4: Simplify right side
    549,289.45x = 159,715,598,237.32
  5. Step 5: Solve for x
    x = 159,715,598,237.32/549,289.45
  6. Step 6: Final answer
    x = 290,767.64

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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.