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Finding the Fourth Proportional to 549,683.80, 824,504.14 and 229,753.04

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Solution

The fourth proportional to 549,683.80, 824,504.14 and 229,753.04 is: 344,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,683.80 : 824,504.14 = 229,753.04 : x
  2. Step 2: Convert to fraction form
    549,683.80/824,504.14 = 229,753.04/x
  3. Step 3: Cross multiply
    549,683.80x = 824,504.14 × 229,753.04
  4. Step 4: Simplify right side
    549,683.80x = 189,432,332,657.59
  5. Step 5: Solve for x
    x = 189,432,332,657.59/549,683.80
  6. Step 6: Final answer
    x = 344,620.55

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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.