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Finding the Fourth Proportional to 549,530.20, 824,295.30 and 494,417.80

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Solution

The fourth proportional to 549,530.20, 824,295.30 and 494,417.80 is: 741,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,530.20 : 824,295.30 = 494,417.80 : x
  2. Step 2: Convert to fraction form
    549,530.20/824,295.30 = 494,417.80/x
  3. Step 3: Cross multiply
    549,530.20x = 824,295.30 × 494,417.80
  4. Step 4: Simplify right side
    549,530.20x = 407,546,268,776.34
  5. Step 5: Solve for x
    x = 407,546,268,776.34/549,530.20
  6. Step 6: Final answer
    x = 741,626.70

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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.