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Finding the Fourth Proportional to 354,804.96, 532,442.48 and 194,992.50

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Solution

The fourth proportional to 354,804.96, 532,442.48 and 194,992.50 is: 292,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,804.96 : 532,442.48 = 194,992.50 : x
  2. Step 2: Convert to fraction form
    354,804.96/532,442.48 = 194,992.50/x
  3. Step 3: Cross multiply
    354,804.96x = 532,442.48 × 194,992.50
  4. Step 4: Simplify right side
    354,804.96x = 103,822,290,281.40
  5. Step 5: Solve for x
    x = 103,822,290,281.40/354,804.96
  6. Step 6: Final answer
    x = 292,617.92

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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.