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Finding the Fourth Proportional to 549,287.66, 823,266.16 and 233,080.26

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Solution

The fourth proportional to 549,287.66, 823,266.16 and 233,080.26 is: 349,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,287.66 : 823,266.16 = 233,080.26 : x
  2. Step 2: Convert to fraction form
    549,287.66/823,266.16 = 233,080.26/x
  3. Step 3: Cross multiply
    549,287.66x = 823,266.16 × 233,080.26
  4. Step 4: Simplify right side
    549,287.66x = 191,887,090,622.00
  5. Step 5: Solve for x
    x = 191,887,090,622.00/549,287.66
  6. Step 6: Final answer
    x = 349,338.07

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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.