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Finding the Fourth Proportional to 294,088.64, 405,842.54 and 165,009.33

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Solution

The fourth proportional to 294,088.64, 405,842.54 and 165,009.33 is: 227,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,088.64 : 405,842.54 = 165,009.33 : x
  2. Step 2: Convert to fraction form
    294,088.64/405,842.54 = 165,009.33/x
  3. Step 3: Cross multiply
    294,088.64x = 405,842.54 × 165,009.33
  4. Step 4: Simplify right side
    294,088.64x = 66,967,807,038.03
  5. Step 5: Solve for x
    x = 66,967,807,038.03/294,088.64
  6. Step 6: Final answer
    x = 227,713.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.