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Finding the Fourth Proportional to 549,203.66, 823,937.02 and 229,177.51

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Solution

The fourth proportional to 549,203.66, 823,937.02 and 229,177.51 is: 343,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,203.66 : 823,937.02 = 229,177.51 : x
  2. Step 2: Convert to fraction form
    549,203.66/823,937.02 = 229,177.51/x
  3. Step 3: Cross multiply
    549,203.66x = 823,937.02 × 229,177.51
  4. Step 4: Simplify right side
    549,203.66x = 188,827,834,640.42
  5. Step 5: Solve for x
    x = 188,827,834,640.42/549,203.66
  6. Step 6: Final answer
    x = 343,821.15

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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.