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Finding the Fourth Proportional to 549,532.60, 823,262.10 and 512,207.80

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Solution

The fourth proportional to 549,532.60, 823,262.10 and 512,207.80 is: 767,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,532.60 : 823,262.10 = 512,207.80 : x
  2. Step 2: Convert to fraction form
    549,532.60/823,262.10 = 512,207.80/x
  3. Step 3: Cross multiply
    549,532.60x = 823,262.10 × 512,207.80
  4. Step 4: Simplify right side
    549,532.60x = 421,681,269,064.38
  5. Step 5: Solve for x
    x = 421,681,269,064.38/549,532.60
  6. Step 6: Final answer
    x = 767,345.32

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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.