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Finding the Fourth Proportional to 549,468.60, 823,538.58 and 283,083.78

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Solution

The fourth proportional to 549,468.60, 823,538.58 and 283,083.78 is: 424,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,468.60 : 823,538.58 = 283,083.78 : x
  2. Step 2: Convert to fraction form
    549,468.60/823,538.58 = 283,083.78/x
  3. Step 3: Cross multiply
    549,468.60x = 823,538.58 × 283,083.78
  4. Step 4: Simplify right side
    549,468.60x = 233,130,414,202.23
  5. Step 5: Solve for x
    x = 233,130,414,202.23/549,468.60
  6. Step 6: Final answer
    x = 424,283.42

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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.