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Finding the Fourth Proportional to 549,347.82, 823,357.40 and 282,963.02

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Solution

The fourth proportional to 549,347.82, 823,357.40 and 282,963.02 is: 424,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,347.82 : 823,357.40 = 282,963.02 : x
  2. Step 2: Convert to fraction form
    549,347.82/823,357.40 = 282,963.02/x
  3. Step 3: Cross multiply
    549,347.82x = 823,357.40 × 282,963.02
  4. Step 4: Simplify right side
    549,347.82x = 232,979,690,911.75
  5. Step 5: Solve for x
    x = 232,979,690,911.75/549,347.82
  6. Step 6: Final answer
    x = 424,102.33

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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.