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Finding the Fourth Proportional to 310,872.12, 428,973.10 and 174,903.22

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Solution

The fourth proportional to 310,872.12, 428,973.10 and 174,903.22 is: 241,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,872.12 : 428,973.10 = 174,903.22 : x
  2. Step 2: Convert to fraction form
    310,872.12/428,973.10 = 174,903.22/x
  3. Step 3: Cross multiply
    310,872.12x = 428,973.10 × 174,903.22
  4. Step 4: Simplify right side
    310,872.12x = 75,028,776,483.38
  5. Step 5: Solve for x
    x = 75,028,776,483.38/310,872.12
  6. Step 6: Final answer
    x = 241,349.33

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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.