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Finding the Fourth Proportional to 549,309.16, 823,298.28 and 233,101.90

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Solution

The fourth proportional to 549,309.16, 823,298.28 and 233,101.90 is: 349,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,309.16 : 823,298.28 = 233,101.90 : x
  2. Step 2: Convert to fraction form
    549,309.16/823,298.28 = 233,101.90/x
  3. Step 3: Cross multiply
    549,309.16x = 823,298.28 × 233,101.90
  4. Step 4: Simplify right side
    549,309.16x = 191,912,393,334.73
  5. Step 5: Solve for x
    x = 191,912,393,334.73/549,309.16
  6. Step 6: Final answer
    x = 349,370.46

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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.